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)

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

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

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x \to - 1 lim (\frac{x}{x + 1})

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x^{4} - 5 x^{2} + 4, at x = 1

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