What is the solution for derivative of (dy/(dx))+y=7sin(x) ?

The solution for derivative of (dy/(dx))+y=7sin(x) is y=c_{1}cos(x)+c_{2}sin(x)-(7xcos(x))/2

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derivative of (dy/(dx))+y=7sin(x)

\frac{d}{d x} (\frac{d y}{d x}) + y = 7 sin (x)

y = c_{1} cos (x) + c_{2} sin (x) - \frac{7 x cos ( x )}{2}

Solution steps

\frac{d ^{2} y}{d x ^{2}} + y = 7 sin (x)

Solve linear ODE:

y = c_{1} cos (x) + c_{2} sin (x) - \frac{7 x cos ( x )}{2}

y = c_{1} cos (x) + c_{2} sin (x) - \frac{7 x cos ( x )}{2}

\int \frac{0.8 ( 3 + ln ( u ) ) ^{3}}{u} d u

y = 2 x^{3} - 8 x, (2, 0)

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

y = x + 2, y = x^{2}

\frac{d}{d x} (\frac{25 - x ^{2} - y ^{2}}{y})

What is the solution for derivative of (dy/(dx))+y=7sin(x) ?
The solution for derivative of (dy/(dx))+y=7sin(x) is y=c_{1}cos(x)+c_{2}sin(x)-(7xcos(x))/2