What is the solution for (dy)/(dx)-y/x =xsin(x) ?

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

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(dy)/(dx)-y/x =xsin(x)

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

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

Solution steps

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

Solve linear ODE:

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

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

x \to 1 + lim (ln (x^{3} - 1))

f (x) = 5 x - 9

\frac{\partial}{\partial y} (x arctan (y))

6 x - 3 x^{2}

\frac{d}{d x} (\frac{x + 2}{x})

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