Solution Found!

Calculus / Fundamentals of Differential Equations 8 / Chapter 2.5 / Problem 8E

Fundamentals of Differential Equations | 8th Edition | ISBN: 9780321747730 | Authors: R. Kent Nagle, Edward B. Saff, Arthur David Snider

Change Question

Solved: In 7–12, solve the equation.

Chapter 2, Problem 8E

(choose chapter or problem)

Get Unlimited Answers

QUESTION:

In Problems 7–12, solve the equation.

\(\left(3 x^{2}+y\right) d x+\left(x^{2} y-x\right) d y=0\)

Equation Transcription:

$(3{x}^{2}+y)dx+({x}^{2}y-x)dy=0$

Text Transcription:

(3 x^{2}+y)dx+(x^{2}y-x)dy=0

Questions & Answers

QUESTION:

In Problems 7–12, solve the equation.

\(\left(3 x^{2}+y\right) d x+\left(x^{2} y-x\right) d y=0\)

Equation Transcription:

$(3{x}^{2}+y)dx+({x}^{2}y-x)dy=0$

Text Transcription:

(3 x^{2}+y)dx+(x^{2}y-x)dy=0

ANSWER:

Solution

In this question we have to solve the equation $(3{x}^{2}+y)dx+({x}^{2}y-x)dy=0.$

Step 1

$(3{x}^{2}+y)dx+({x}^{2}y-x)dy=0$

It shows that equation is neither separable nor linear.

Here $M=3{x}^{2}+y$ and $N={x}^{2}y-x$

$\frac{dM}{dY}=1$

$\frac{dN}{dx}=2xy-1$

So $\frac{dM}{dY}$ $\ne{}\frac{dN}{dx}$

Study Tools You Might Need

Chapter: 4 Problem: 18

Elementary Statistics 12
Trifecta In horse racing, a trifecta is a bet that the first three finishers in a race are selected in the correct order. In a race with 12 horses, how many different trifecta bets are possible? If you randomly guess the order of the first three finishers in a race with 12 horses, what is the probabi

Chapter: 3 Problem: 25

College Physics 1
Problem 25PE A projectile is launched at ground level with an initial speed of 50.0 m/s at an angle of 30.0 above the horizontal. It strikes a target above the ground 3.00 seconds later. What are the x and y distances from where the projectile was launched to where it lands?

Chapter: 6 Problem: 42QP

An Introduction to Chemistry 2
Problem 42QP Tetraphosphorus trisulfide, P4S3, is used in the heads of wooden matches. This material is manufactured by the heating of a mixture of red phosphorus and sulfur. 8P4(s) + 3S8(s) ?8P4S3(s) What is the limiting reactant when each of the following sets of quantities of reactants is mixed? (

Chapter: 3 Problem: 16P

Principles of General Chemistry 2
Calculate each of the following quantities: (a) Mass in grams of \(8.42 \mathrm{~mol}\) of chromium(III) sulfate decahydrate (b) Mass in grams of \(1.83 \times 10^{24}\) molecules of dichlorine heptaoxide (c) Number of moles and formula units in \(6.2 \mathrm{~g}\) of lithium sulfate (d) Numb

Chapter: 8 Problem: 51P

Principles of General Chemistry 2
What is a pseudo-noble gas configuration? Give an example of one ion from Group 3A(13) that has it.

Chapter: 11 Problem: 7

Physics: Principles with Applications 7
A mass m at the end of a spring oscillates with a frequency of 0.83 Hz. When an additional 780-g mass is added to m, the frequency is 0.60 Hz. What is the value of m?

Chapter: 7 Problem: 7.57

Physics for Scientists and Engineers: A Strategic Approach, Standard Edition (Chs 1-36) 4
A mobile at the art museum has a 2.0 kg steel cat and a 4.0 kg steel dog suspended from a lightweight cable, as shown in FIGURE EX7.23. It is found that u1 = 20 when the center rope is adjusted to be perfectly horizontal. What are the tension and the angle of rope 3?

Chapter: 11 Problem: 30

The Practice of Statistics 5
How are schools doing? Refer to Exercise 28. Do the data provide convincing evidence of a difference in the distributions of opinions about how high schools are doing among black, Hispanic, and white parents? (a) State appropriate null and alternative hypotheses for a significance test to help answer

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

×

Register

Sign up for access to all content on our site!

Or login if you already have an account