What is the solution for t(dy)/(dt)=t^3+11t^3y ?

The solution for t(dy)/(dt)=t^3+11t^3y is y=(e^{(11t^3+c_{1})/3})/(11)-1/11

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t(dy)/(dt)=t^3+11t^3y

t \frac{d y}{d t} = t^{3} + 11 t^{3} y

y = \frac{e ^{\frac{11 t ^{3} + c _{1}}{3}}}{11} - \frac{1}{11}

Solution steps

t \frac{d y}{d t} = t^{3} + 11 t^{3} y

Solve separable ODE:

y = \frac{e ^{\frac{11 t ^{3} + c _{1}}{3}}}{11} - \frac{1}{11}

y = \frac{e ^{\frac{11 t ^{3} + c _{1}}{3}}}{11} - \frac{1}{11}

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What is the solution for t(dy)/(dt)=t^3+11t^3y ?
The solution for t(dy)/(dt)=t^3+11t^3y is y=(e^{(11t^3+c_{1})/3})/(11)-1/11