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Solved: In each of 1 through 6, determine whether the method of separation of variables

Elementary Differential Equations and Boundary Value Problems | 10th Edition | ISBN: 9780470458310 | Authors: William E. Boyce ISBN: 9780470458310 168

Solution for problem 3 Chapter 10.5

Elementary Differential Equations and Boundary Value Problems | 10th Edition

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Elementary Differential Equations and Boundary Value Problems | 10th Edition | ISBN: 9780470458310 | Authors: William E. Boyce

Elementary Differential Equations and Boundary Value Problems | 10th Edition

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Problem 3

In each of 1 through 6, determine whether the method of separation of variables can be used to replace the given partial differential equation by a pair of ordinary differential equations. If so, find the equations.uxx + uxt + ut = 0

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Our test will not include sleep or pregnancy. *One thing on sleep is that we need to get 8-9 hours every night in order to be able to perform to our best ability Relationships What are the 5 types of relationships we discussed in class 1. Friends 2. Family 3. Yourself 4. Coworkers/ Classmates 5. Intimate T/F: When describing the “perfect” guy/ girl you can tell if that person will be abuser or not - False, just by describing someone you cannot tell if the person will be an abuser or not. What are the 2 ingredients of a healthy relationship - Who you are as an individual - What you bring to the relationship What are 4 healthy traits to bring to a relationship - Reasonably high self-esteem - Sense of worth - Capacity of empathy - Ability to be both alone and to be with others What are some strengths you want to have a successful relationship - Independence and maturity - Self-esteem mutual respect - Good communication - Enjoy spending time together in leisure activities - Acknowledge strength and weakness - Assertive and flexible in wants and needs - Handle conflicts constructively - Shared spiritual values Where do we normally find relationships - Proximity or familiarity - Physical attractiveness - Similar characteristics (values and attitudes) Why does it feel like a roller coaster when you’re falling in love - Our dopamine levels increase and our sympathetic nervous system is aroused when around our lover, so when you are away from that person you can feel not as happy. This feeling subsides when we become more habituated with our partner. What are Steinberg’s 3 dimensions to his love triangle - Passion - Intimacy - Commitment What are the six different types of love 1. Liking – intimacy 2. Romantic – passion, intimacy 3. Infatuation – passion 4. Fatuous – passion, commitment 5. Empty – commitment 6. Companionate – intimacy, commitment 7. Consummate – passion, intimacy, and commitment (best of all) What is something you can do to be a better half in a relationship - Acknowledge others (empathy) - Communication What is an example of something we have control of in relationships - How we talk to them - How much we give and take Communication What are 4 things that nonverbal communication includes 1. Gestures 2. Facial expressions 3. Posture 4. Noise What are the 6 universal facial expressions 1. Happy 2. Sad 3. Angry 4. Disgust 5. Fear 6. Surprise What are the 5 parts of communication 1. Sender 2. Receiver 3. Message 4. Channel 5. Feedback Why do messages get broken down sometimes - Sender may improperly encode message - Message ambiguous or culturally erroneous - Bad channel source - Too much noise - Receiver misinterprets message - Inadequate feedback What counts as fair fighting - Factual - Timely - No middle person - Owned by the send “I” - Checked for clarity - Ask questions What are 2 questions you can ask if fair fighting - “This is what I’m hearing....” - “What are you hearing me say” What are the 4 types of communication styles Describe them. 1. Assertive – tell person, relaxed, calm, clear tone, use “I” statement, communicate respect for others, listen well, in-control of self, good eye contact 2. Aggressive – blow up, yells at people, want control/domination, humiliate others, criticize/blame others, don’t listen well, use “You” statements, speak loudly, interrupt 3. Passive – won’t speak up, let other people walk all over them, speak softly and apologetically, fail to express feelings 4. Passive Aggressive – sarcasm, subtle sabotage, facial expressions don’t match how they feel, deny there’s a problem, difficulty acknowledging anger What are the 4 functions of communication 1. Persuasion/ influence 2. Information sharing 3. Social expressive 4. Command/ instruct What are a few ways females tend to communicate - Intimacy - Connection - Venting - Listening - Inclusion - Relationship - Community What are a few ways males tend to communicate - Independence - Exclusion - Status - Information - Report - Lecturing - Solutions - Contest T/F: Everyone communicates the same. - False, everyone has their own style of communicating. Sexual Choices T/F: 50% of pregnancies in the United States are unintended. - True T/F: Fertility management and birth control are two separate things. - False How long can an egg live before it is absorbed back into the uterus - 24 hours How long can sperm live in the vagina - Up to 5 days after ejaculation What does fertility management/ birth control do - Prevent contraception When does a women ovulate - Usually around mid-cycle or 14 days before a period begins; however it is hard to tell because it can change monthly and is different for every woman What are the 6 categories of birth control 1. Barrier 2. Hormonal 3. Chemical 4. Natural 5. Surgical 6. Mechanical What does barrier method include - Physical barriers include: cervical cap, sponge, male/female condoms, and diaphragm - Chemical barrier such as: spermicide, foam, jelly, or creams What is a pro of the barrier method - It is not hormonal What are some types of hormonal birth control - The pill taken daily - The patch replaced weekly - The vaginal ring replaced monthly - The shot given every 3 months - The implant works for years - The IUD works for years What does the hormonal method do - Add chemical similar to hormones to stop the release of an egg and weaken sperm, hormones can change cervical mucus and uterine lining, slow sperm, and reduce ability of fertilized egg to implant into uterine wall What are 3 surgical methods - Vasectomy – sterilization for men - Tubal ligation – sterilization for women - Essure – sterilization for women What is the perfect failure rate - the number of pregnancies per 100 uses of contraceptive method, per year if the method is used perfectly What is the typical use failure rate - the number of pregnancies likely to occur with normal number of errors, memory lapse, and incorrect/incomplete use Which typically has a higher number - Typical use failure rate What does HIV stand for - Human immunodeficiency virus What are the 4 bodily fluids you could get HIV from 1. Breast milk 2. Blood 3. Male ejaculation 4. Vaginal fluid From high to low what puts you at risk for getting HIV - Sharing needles/IV - Unprotected anal sex - Unprotected vaginal sex - Unprotected oral sex T/F: A TCell count of 200 of less qualifies for AIDs - True. It also exposes you to other diseases such as THRUSH What is the national HIV strategy - Prevent - Test - Link - Treat (retain) How often should you get tested - Once a year, ask your doctor if they don’t ask you Can an infected male get a pregnant women’s baby infected with HIV - Only if the women has already gotten infected Can an infected pregnant women infect her child - Not until the child passes through the birthing canal What does PREP stand for What is it - Pre-exposure prophylaxis – pills you can take to hopefully prevent you from becoming infected with HIV, best used by someone who has unprotected sex What does PSP stand for What is it - Post-exposure prophylaxis – pill you can receive if you have had unprotected sex unknown to you but only if you go to the emergency room within 36-72 hours after T/F: You do need fluid exchange to get a STI. - False, you do not need fluid exchange. It could simply involve skin to skin contact What is syphilis and can it be treated Cured - Can be a single sore that goes away without treatment, then turns into a rash - It can be treated and cured but only at beginning stage. - It can cause you to go blind and debilitate your brain. What is gonorrhea and can it be treated Cured - Green discharge from males penis - Not many symptoms for women - It can be treated and cured by antibiotics What is herpes and can it be treated Cured - It is little sores - There are 2 types - It can be treated but not cured Pathogens What is a pathogen - A disease causing organism What is the body’s greatest barrier to pathogens - The skin What is an example of a pathogen - Virus - Bacteria When spreading pathogens what is required - Some type of contact (physical, airborne, vector (rabies)) - Poor immune system (prevention by healthy eating, exercising, and good sleep habits) - Need pathogen - Need enough of pathogen What is a prevention tip for pathogens - Washing hands (for at least 20 secs, with warm soapy water) What is an example of pathogen that is resistant to antibiotics - MRSA Why have we become resistant to them - Overuse of antibiotics - Limited number of choices - Not using antibiotics correctly What are 4 types of body modification or body art - Tattoos - Piercings - Implants - Branding What increases the concern for pathogens - the skin gets broken during body modification or body art What is another thing for risk of infections - Manicure - Pedicure What should you do before possible body modification - Vaccinated against hepatitis B During body modification: - Pre-medicate if necessary Ex: chronic illnesses What are some things about the artist you should know/ ask - Hands-on profession - Lengthy apprenticeship - Self-taught - Ask about qualifications - No license - Ask about cleaning procedure What should you look for in the establishment you get your body modification done in - sterilizing equipment and cleanliness of shop What are some possible problem - Severe redness, swelling, pain - Discharge - Flu like symptoms - Red streaks from piercing site What should you do if it occurs - Speak to an expert/professional - Visit health and wellness center What does STI stand for - Sexually transmitted infections How are STI’s transmitted - Sexual intercourse - Oral – genital - Hand – genital - Anal - Mouth to mouth - Contact with fluids from your body sores/body fluid What does asymptomatic - Many STI’s are asymptomatic, meaning they have no symptoms shown What does the ping-pong effect mean - one partner gets treated but the other one doesn’t and they pass it back and forth with each other What are universal precautions - Treating everyone as if they have all diseases - You can protect yourself

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Chapter 10.5, Problem 3 is Solved
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Textbook: Elementary Differential Equations and Boundary Value Problems
Edition: 10
Author: William E. Boyce
ISBN: 9780470458310

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Solved: In each of 1 through 6, determine whether the method of separation of variables