What is the solution for y^{''}=xsin(x)+xcos(x) ?

The solution for y^{''}=xsin(x)+xcos(x) is y=-xsin(x)-2cos(x)-xcos(x)+2sin(x)+c_{1}x+c_{2}

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y^{''}=xsin(x)+xcos(x)

y^{^{''}} = x sin (x) + x cos (x)

y = - x sin (x) - 2 cos (x) - x cos (x) + 2 sin (x) + c_{1} x + c_{2}

Solution steps

y^{''} (x) = x sin (x) + x cos (x)

Solve

y^{''} (x) = x sin (x) + x cos (x) : y^{'} (x) = - x cos (x) + sin (x) + x sin (x) + cos (x) + c_{1}

Solve

y^{'} (x) = - x cos (x) + sin (x) + x sin (x) + cos (x) + c_{1} : y = - x sin (x) - 2 cos (x) - x cos (x) + 2 sin (x) + c_{1} x + c_{2}

y = - x sin (x) - 2 cos (x) - x cos (x) + 2 sin (x) + c_{1} x + c_{2}

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

n = 0 \sum \infty (n + 1) 0. 5^{n}

sin (x + sin (4 x))

y^{^{'}} = (1 - 2 x) y^{2}

n = 1 \sum \infty \frac{1 5 ^{n}}{n !}

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