What is the solution for (dy)/(dx)+11x^2y=95x^2 ?

The solution for (dy)/(dx)+11x^2y=95x^2 is y=(e^{(-11x^3+c_{1})/3})/(11)+95/11

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(dy)/(dx)+11x^2y=95x^2

\frac{d y}{d x} + 11 x^{2} y = 95 x^{2}

y = \frac{e ^{\frac{- 11 x ^{3} + c _{1}}{3}}}{11} + \frac{95}{11}

Solution steps

\frac{d y}{d x} + 11 x^{2} y = 95 x^{2}

Solve separable ODE:

y = \frac{e ^{\frac{- 11 x ^{3} + c _{1}}{3}}}{11} + \frac{95}{11}

y = \frac{e ^{\frac{- 11 x ^{3} + c _{1}}{3}}}{11} + \frac{95}{11}

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

x^{^{'}} = \frac{3}{2} x - 10

x^{^{'}} = - \frac{1}{5} x + 5

\frac{d y}{d t} = 1 + t^{2} + y^{2} + t^{2} y^{2}, y (0) = 1

\frac{d}{d x} (6 x^{2} + 7 y^{2} - 1) = 0

What is the solution for (dy)/(dx)+11x^2y=95x^2 ?
The solution for (dy)/(dx)+11x^2y=95x^2 is y=(e^{(-11x^3+c_{1})/3})/(11)+95/11