What is the solution for t(dy)/(dt)=t^3+6t^3y ?

The solution for t(dy)/(dt)=t^3+6t^3y is y=(e^{2t^3+c_{1}})/6-1/6

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t(dy)/(dt)=t^3+6t^3y

t \frac{d y}{d t} = t^{3} + 6 t^{3} y

y = \frac{e ^{2 t^{3} + c_{1}}}{6} - \frac{1}{6}

Solution steps

t \frac{d y}{d t} = t^{3} + 6 t^{3} y

Solve separable ODE:

y = \frac{e ^{2 t^{3} + c_{1}}}{6} - \frac{1}{6}

y = \frac{e ^{2 t^{3} + c_{1}}}{6} - \frac{1}{6}

x \to 0 + lim (x (12))

\frac{\partial}{\partial y} (x + 2 x y - 3 y^{2})

\int_{a}^{3 a} x d x

x - 2, x, 0, 4

x \to - 7 lim (\frac{4 x + 28}{x + 7})

What is the solution for t(dy)/(dt)=t^3+6t^3y ?
The solution for t(dy)/(dt)=t^3+6t^3y is y=(e^{2t^3+c_{1}})/6-1/6