What is the solution for -y^2-ye^t+(y+e^t)((dy)/(dt))=0 ?

The solution for -y^2-ye^t+(y+e^t)((dy)/(dt))=0 is y=e^{t+c_{1}}

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-y^2-ye^t+(y+e^t)((dy)/(dt))=0

- y^{2} - y e^{t} + (y + e^{t}) (\frac{d y}{d t}) = 0

y = e^{t + c_{1}}

Solution steps

- y^{2} - y e^{t} + (y + e^{t}) (\frac{d y}{d t}) = 0

Solve separable ODE:

y = e^{t + c_{1}}

y = e^{t + c_{1}}

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What is the solution for -y^2-ye^t+(y+e^t)((dy)/(dt))=0 ?
The solution for -y^2-ye^t+(y+e^t)((dy)/(dt))=0 is y=e^{t+c_{1}}