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}

y^{^{'}} = (2 + 3 x) y, y (0) = 3

y^{^{'}} (s) = (\frac{1 - 2 s}{s ^{2}}) y (s)

y^{^{'}} + (cos (x)) y = 5 cos (x)

y^{^{'}} = \frac{3}{2} y^{\frac{1}{3}}, y (0) = 0

x^{^{'}} = \frac{( x ^{2} + x )}{( 2 x + 1 )}

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