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Q. 63

Found in: Page 945


Book edition 1st
Author(s) Peter Kohn, Laura Taalman
Pages 1155 pages
ISBN 9781429241861

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Short Answer

Solve the exact differential equations in Exercises 63–66. ey+(xey7)dydx= 0

The solution of given exact differential equation is: xey7y+C=0

See the step by step solution

Step by Step Solution

Step 1. Given information 

Exact differential equation, ey+(xey7)dydx= 0

Step 2. Solving the given exact differential equation

Given, ey+(xey7)dydx= 0ey dx+(xey7) dy= 0It is a exact differential equation of the the form Mdx+Ndy=0, with My=Nx. the solution is given by, f(x,y)=(treating y as constant in M) dx+(terms independent of x in N) dy=0ey dx+(7) dy=0xey7y+C=0

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