Question: Show that the differential equation ( x - 2 y ) d x + ( y - 2 x ) d y = 0 i

Show that the differential equation (x-2y)dx+(y-2x)dy=0is exact. Hence, solve
the differential equation by the method of exact equation.
Show that the differential equation ( x - 2 y ) d

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

3.45 Use the Poincar-Bendixson theorem (Theorem 3.36) to show that the system X X Y - 2", y' x + y - y3 = has a periodic solution. (Hint: Show that the system has an invariant square.) 3.43 Show that...

Q:

5a) Which describes how the graph of f can be obtained from the graph of y = ex ? Select one answer. A. B. C. D. Shift the graph of y = ex to the left by 1 unit and up by 4 units. Shift the graph of...

Q:

Janagan Kandasamy Assignment Assignment 3 due 10/05/2016 at 11:59pm EDT Z ENRG 213 Fall 2016 1. (1 point) Use the \"mixed partials\" check to see if the following differential equation is exact. If...

Q:

1. [0/1 Points] DETAILS PREVIOUS ANSWERS ZILLDIFFEQ9 2.4.001. Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not exact, enter NOT.) (2x - 1) dx + (7y...

Q:

\f1. First, show that this differential equation is exact. Then solve it by using the method of exact differential equation that we learned in class. That is, find the potential function and then...

Q:

Hello. I recently took an exam. The teacher gave us the solutions to the exam. However, I am still confused on questions 2, 4, 6, 7, and 10. I attached the exam down below, cold you explain them to...

Q:

Would like some detailed guided assistance / solutions to this problem. Thanks. . . . dzv y 2 _ _ _ r _ 7. [20] For the differential equation x E'anYx , y{x]|m v[e] 0. 3! [Kim 2 a. Make the usual...

Q:

Please help me check my work and also help me with question 3. Thanks a lot! 1) Determine whether the given differential equation is exact . If it is exact , solve it ( 5 x + Hy ) dx + ( 4x - 84 ) dy...

Q:

no need to show the solution. Thank you so much! Which of the following methods can be applied to find a particular solution yo of y" +y=cos(ex)? A undetermined coefficients B variation of parameters...

Q:

Yego Domestic: a bond is issued in the US Global: a bond is issued in the US and foreign markets Eurobonds: a bond denominated in USD is issued in the foreign market. You need to estimate the...

Q:

Question 1. We are working in the Cell phone Department in Samsung. Your role is to select vendors or software in ERP Please create a 3 question checklist for selecting vendors or software in ERR Use...

Q:

Create a personal course reflection that will summarize what youve learned and how it will help you lead a healthier life. You may also compare and contrast your knowledge of Cardiovascular Disease...

Q:

by calculating the The present value of minimum lease payments compete the value of the lease liability to the lessee.

Q:

A particle is moving in three dimensions and its position vector is given by; r(t) = (4, 4t + 2, 3t)i + (4, 5t - 2, 3)2 + (3, 3t + 3, 1t)k where r is in meters and t is in seconds. Determine the...