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Differential Equations

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First Order Separable Equation, IVP

DIFFEQ-W1GVBX

Consider the IVP $ye^{-x}dy+xdx=0, y(0)=1$.

The solution is given by:

A

$y^2-2xe^x+2e^x=-1$

B

$y^2=-2xe^x+2e^x-1$

C

$\frac{1}{2}y^2=xe^x-e^x+\frac{3}{2}$

D

$y^2-2xe^x+2e^x=3$