What is the solution for t*(dy)/(dt)=t^3+14t^3y ?

The solution for t*(dy)/(dt)=t^3+14t^3y is y=(e^{(14t^3+c_{1})/3})/(14)-1/14

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t*(dy)/(dt)=t^3+14t^3y

t \cdot \frac{d y}{d t} = t^{3} + 14 t^{3} y

y = \frac{e ^{\frac{14 t ^{3} + c _{1}}{3}}}{14} - \frac{1}{14}

Solution steps

t \cdot \frac{d y}{d t} = t^{3} + 14 t^{3} y

Solve separable ODE:

y = \frac{e ^{\frac{14 t ^{3} + c _{1}}{3}}}{14} - \frac{1}{14}

y = \frac{e ^{\frac{14 t ^{3} + c _{1}}{3}}}{14} - \frac{1}{14}

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What is the solution for t*(dy)/(dt)=t^3+14t^3y ?
The solution for t*(dy)/(dt)=t^3+14t^3y is y=(e^{(14t^3+c_{1})/3})/(14)-1/14