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

The solution for y(dy)/(dx)2y=2+x^2 is y=\sqrt[3]{3x+(x^3)/2+c_{1}}

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

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

y = 3 3 x + \frac{x ^{3}}{2} + c_{1}

Solution steps

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

Solve separable ODE:

y = 3 3 x + \frac{x ^{3}}{2} + c_{1}

y = 3 3 x + \frac{x ^{3}}{2} + c_{1}

\int arctan (1) d x

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

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What is the solution for y(dy)/(dx)2y=2+x^2 ?
The solution for y(dy)/(dx)2y=2+x^2 is y=\sqrt[3]{3x+(x^3)/2+c_{1}}