What is the solution for (dy}{dx}-\frac{2y)/x =x^2 ?

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

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(dy}{dx}-\frac{2y)/x =x^2

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

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

Solution steps

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

Solve linear ODE:

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

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

(2.3) (5.2)

f^{^{'}} (x) = x ∣ x ∣

x^{x^{3} - 2 x}

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

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