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Chapter 12: Q. 63 (page 945)

Solve the exact differential equations in Exercises 63鈥�66.ey+(xey鈭�7)dydx=0

Short Answer

Expert verified

The solution of given exact differential equation is:xey鈭�7y+C=0

Step by step solution

01

Step 1. Given information 

Exact differential equation,ey+(xey鈭�7)dydx=0

02

Step 2. Solving the given exact differential equation

Given,ey+(xey鈭�7)dydx=0鈬�eydx+(xey鈭�7)dy=0ItisaexactdifferentialequationofthetheformMdx+Ndy=0,with鈭�M鈭�y=鈭�N鈭�x.thesolutionisgivenby,f(x,y)=鈭�(treatingyasconstantinM)dx+鈭�(termsindependentofxinN)dy=0鈬�鈭�eydx+鈭�(鈭�7)dy=0鈬�xey鈭�7y+C=0

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