What is the solution for (dy)/(dt)+ty=ty^2 ?

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

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(dy)/(dt)+ty=ty^2

\frac{d y}{d t} + t y = t y^{2}

y = \frac{1}{1 - e ^{\frac{t ^{2}}{2} + c_{1}}}

Solution steps

\frac{d y}{d t} + t y = t y^{2}

Solve separable ODE:

y = \frac{1}{1 - e ^{\frac{t ^{2}}{2} + c_{1}}}

y = \frac{1}{1 - e ^{\frac{t ^{2}}{2} + c_{1}}}

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