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Grade 12th passDifferential Calculus

solve of the following differential equation
x ((e^y) + 4) dx + (e^(x+y)) dy = 0

Profile image of Noman Ahmed
7 Years agoGrade 12th pass
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1 Answer

Profile image of Aditya Gupta
ApprovedApproved Tutor Answer7 Years ago
put z=e^y+4
or dz= e^ydy
so eqn becomes
xzdx + e^xdz=0
or xe^-x dx= – dz/z
now you cn integrate n solve