What is the solution for y^2e^t+(e^t+2)y^'=0 ?

The solution for y^2e^t+(e^t+2)y^'=0 is y=-1/(-ln(e^t+2)+c_{1)}

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y^2e^t+(e^t+2)y^'=0

y^{2} e^{t} + (e^{t} + 2) y^{^{'}} = 0

y = - \frac{1}{- ln ( e ^{t} + 2 ) + c _{1}}

Solution steps

y^{2} e^{t} + (e^{t} + 2) y^{'} (t) = 0

Solve separable ODE:

y = - \frac{1}{- ln ( e ^{t} + 2 ) + c _{1}}

y = - \frac{1}{- ln ( e ^{t} + 2 ) + c _{1}}

What is the solution for y^2e^t+(e^t+2)y^'=0 ?
The solution for y^2e^t+(e^t+2)y^'=0 is y=-1/(-ln(e^t+2)+c_{1)}