What is the solution for x^2(dy)/(dx)-xy=4x^3sin(x) ?

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

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x^2(dy)/(dx)-xy=4x^3sin(x)

x^{2} \frac{d y}{d x} - x y = 4 x^{3} sin (x)

y = - 4 cos (x) x + c_{1} x

Solution steps

x^{2} \frac{d y}{d x} - x y = 4 x^{3} sin (x)

Solve linear ODE:

y = - 4 cos (x) x + c_{1} x

y = - 4 cos (x) x + c_{1} x

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

\int_{- 1}^{2} ∣ x ∣ d x

n = 0 \sum \infty 4^{n} + n^{4}

y = 7 x^{2} - 5 x + 2

8 x^{2} sin (x) tan (x)

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