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

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

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

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

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

Solution steps

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

Solve linear ODE:

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

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

y d x + (x - 1) d y = 0, y (2) = 9

y = \frac{x ^{2} + 8 x + 3}{x}

\frac{d}{d x} (\frac{g ( x ) ( x )}{a x ^{2} + x})

\frac{7}{x ^{2} + 3}

\frac{d}{d x} (x^{2} sin (x) + 2 x cos (x))

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