What is the solution for t*(dy)/(dt)=t^3+30t^3y ?

The solution for t*(dy)/(dt)=t^3+30t^3y is y=(e^{10t^3+c_{1}})/(30)-1/30

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t*(dy)/(dt)=t^3+30t^3y

t \cdot \frac{d y}{d t} = t^{3} + 30 t^{3} y

y = \frac{e ^{10 t^{3} + c_{1}}}{30} - \frac{1}{30}

Solution steps

t \cdot \frac{d y}{d t} = t^{3} + 30 t^{3} y

Solve separable ODE:

y = \frac{e ^{10 t^{3} + c_{1}}}{30} - \frac{1}{30}

y = \frac{e ^{10 t^{3} + c_{1}}}{30} - \frac{1}{30}

What is the solution for t*(dy)/(dt)=t^3+30t^3y ?
The solution for t*(dy)/(dt)=t^3+30t^3y is y=(e^{10t^3+c_{1}})/(30)-1/30