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

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

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

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

y = \frac{e ^{\frac{- 2 x ^{3} + c _{1}}{3}}}{2} + \frac{11}{2}

Solution steps

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

Solve separable ODE:

y = \frac{e ^{\frac{- 2 x ^{3} + c _{1}}{3}}}{2} + \frac{11}{2}

y = \frac{e ^{\frac{- 2 x ^{3} + c _{1}}{3}}}{2} + \frac{11}{2}

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x \to 0 - lim (1 + \frac{1}{x})

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