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

The solution for x(dy)/(dx)+y=x^2sin(x) is y=-xcos(x)+(2(xsin(x)+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 = - x cos (x) + \frac{2 ( x sin ( x ) + cos ( x ) )}{x} + \frac{c _{1}}{x}

Solution steps

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

Solve linear ODE:

y = - x cos (x) + \frac{2 ( x sin ( x ) + cos ( x ) )}{x} + \frac{c _{1}}{x}

y = - x cos (x) + \frac{2 ( x sin ( x ) + cos ( x ) )}{x} + \frac{c _{1}}{x}

\int_{- π}^{π} sin^{2} (x co) s^{3} x d x

\frac{( x ^{2} + 3 ) d y}{d x} = x y

y = (\frac{t ^{2}}{t ^{3} - 4 t})^{3}

\frac{d y}{d x} = y e^{x}

\int - 2 x^{2} (x^{3} + 6)^{4} d x

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