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

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(1 + x y) d x + x^{2} d y = 0

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