What is the solution for 2x(dy)/(dx)-y=3x^2 ?

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

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2x(dy)/(dx)-y=3x^2

2 x \frac{d y}{d x} - y = 3 x^{2}

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

Solution steps

2 x \frac{d y}{d x} - y = 3 x^{2}

Solve linear ODE:

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

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

x \to 2 lim (\frac{1}{2 x})

\int 3 x^{2} e^{9 x^{3}} d x

f (x) = \frac{x - 1}{x + 3}

\int_{0}^{\infty} e^{(- 2 x)} d x

4^{(x^{9})}

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