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Solve the given initial-value problem. The DE is homogeneous. \[ \left(x+y e^{y / x}\right) d x-x ...
Solve the given initial-value problem. The DE is homogeneous. \[ \left(x+y e^{y / x}\right) d x-x e^{y / x} d y=0, \quad y(1)=0 \] \[ e^{\left(\frac{y}{x}\right)}=\ln (x+1) \]
