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

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

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xdy=(xsin(x)-y)dx

x d y = (x sin (x) - y) d x

y = - cos (x) + \frac{sin ( x )}{x} + \frac{c _{1}}{x}

Solution steps

x d y = (x sin (x) - y) d x

Solve linear ODE:

y = - cos (x) + \frac{sin ( x )}{x} + \frac{c _{1}}{x}

y = - cos (x) + \frac{sin ( x )}{x} + \frac{c _{1}}{x}

\frac{d}{d x} (k x^{2})

\int cos^{6} (3 x) d x

\int_{1}^{2} \frac{11}{x ^{3} + 2 x} d x

3 x^{2} + 2 x - 10

\frac{( 2 s + 1 )}{s ( s + 1 ) ^{2}}

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