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

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

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(xdy)/(dx)=y+x^2sin(x)

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

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

Solution steps

\frac{x 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

\int (\frac{1}{3} x - 9)^{\frac{2}{3}} d x

\int - 25 sin (5 x) d x

\frac{d y}{d t} = 45 t^{8}

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

y^{^{''}} + y^{^{'}} + \frac{1}{4} y = 0

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