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

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

Grade:12th pass

1 Answers

Aditya Gupta
2081 Points
4 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

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