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 \cdot \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 \cdot \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}

2 x^{5} + 3 x^{3} - 3

x \to \infty lim (- 3^{- x})

f (x) = x (x^{- 1} + 7)

\int (y - 4) d y

f (x) = sin (x) ln (x^{4} + \frac{1}{x})

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