Make $16/hr - and build your resume - as a Marketing Coordinator! Apply Now

Find two solutions of the initial-value problem Use a

A First Course in Differential Equations with Modeling Applications | 10th Edition | ISBN: 9781111827052 | Authors: Dennis G. Zill

Problem 12E Chapter 4.10

A First Course in Differential Equations with Modeling Applications | 10th Edition

  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
A First Course in Differential Equations with Modeling Applications | 10th Edition | ISBN: 9781111827052 | Authors: Dennis G. Zill

A First Course in Differential Equations with Modeling Applications | 10th Edition

4 5 0 274 Reviews
24
5
Problem 12E

Find two solutions of the initial-value problem Use a numerical solver to graph the solution curves.

Step-by-Step Solution:

Solution :Step 1 of 5 : In this problem, we need to find the two solutions of the initial-value problem Step 2 of 5 : Find the solution of equation preview Let u = y’u’ = y’’The equation becomes (u’’)² + u² = 1 (u’’)² + u² -1 = 0Solve this quadratic equation We get equation preview Separate the variables and solve this two equations Step 3 of 5 :Let us take the positive u’ equation preview equation preview Take the integral and simplify this equation preview equation preview equation preview We know that u = y’ equation preview Apply the initial conditions y’(/2)=3/2 and solve for equation preview We get = /6 equation preview equation preview equation preview equation preview Again plug the first initial condition y(/2)=½ and solve for equation preview We get = 1 The solution is equation preview

Step 4 of 5

Chapter 4.10, Problem 12E is Solved
Step 5 of 5

Textbook: A First Course in Differential Equations with Modeling Applications
Edition: 10th
Author: Dennis G. Zill
ISBN: 9781111827052

×
Log in to StudySoup
Get Full Access to A First Course In Differential Equations With Modeling Applications - 10th Edition - Chapter 4.10 - Problem 12e

Forgot password? Reset password here

Join StudySoup for FREE
Get Full Access to A First Course In Differential Equations With Modeling Applications - 10th Edition - Chapter 4.10 - Problem 12e
Join with Email
Already have an account? Login here
Forgot password? Reset your password here

I don't want to reset my password

Need help? Contact support

Need an Account? Is not associated with an account
Sign up
We're here to help

Having trouble accessing your account? Let us help you, contact support at +1(510) 944-1054 or support@studysoup.com

Got it, thanks!
Password Reset Request Sent An email has been sent to the email address associated to your account. Follow the link in the email to reset your password. If you're having trouble finding our email please check your spam folder
Got it, thanks!
Already have an Account? Is already in use
Log in
Incorrect Password The password used to log in with this account is incorrect
Try Again

Forgot password? Reset it here