What is the solution for (dy)/(dx)+1/x y=7x^2 ?

The solution for (dy)/(dx)+1/x y=7x^2 is y=(7x^3)/4+(c_{1})/x

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(dy)/(dx)+1/x y=7x^2

\frac{d y}{d x} + \frac{1}{x} y = 7 x^{2}

y = \frac{7 x ^{3}}{4} + \frac{c _{1}}{x}

Solution steps

\frac{d y}{d x} + \frac{1}{x} y = 7 x^{2}

Solve linear ODE:

y = \frac{7 x ^{3}}{4} + \frac{c _{1}}{x}

y = \frac{7 x ^{3}}{4} + \frac{c _{1}}{x}

\frac{d}{d x} (\frac{6}{x ^{2} + 1})

\frac{d}{d t} (1 - 3 t)

x e^{- x^{2}}

\int \frac{3 x}{( 2 x ^{2} + 1 ) ^{3}} d x

k = 0 \sum \infty x^{k}

What is the solution for (dy)/(dx)+1/x y=7x^2 ?
The solution for (dy)/(dx)+1/x y=7x^2 is y=(7x^3)/4+(c_{1})/x