What is the solution for x((dy)/(dx))+2y=10x^2 ?

The solution for x((dy)/(dx))+2y=10x^2 is y=(5x^2)/2+(c_{1})/(x^2)

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x((dy)/(dx))+2y=10x^2

x (\frac{d y}{d x}) + 2 y = 10 x^{2}

y = \frac{5 x ^{2}}{2} + \frac{c _{1}}{x ^{2}}

Solution steps

x (\frac{d y}{d x}) + 2 y = 10 x^{2}

Solve linear ODE:

y = \frac{5 x ^{2}}{2} + \frac{c _{1}}{x ^{2}}

y = \frac{5 x ^{2}}{2} + \frac{c _{1}}{x ^{2}}

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What is the solution for x((dy)/(dx))+2y=10x^2 ?
The solution for x((dy)/(dx))+2y=10x^2 is y=(5x^2)/2+(c_{1})/(x^2)