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

The solution for (d^2y)/(dx^2)-(dy)/(dx)=sin(x)-cos(x) is y=c_{1}e^x+c_{2}+cos(x)

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(d^2y)/(dx^2)-(dy)/(dx)=sin(x)-cos(x)

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

y = c_{1} e^{x} + c_{2} + cos (x)

Solution steps

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

Solve linear ODE:

y = c_{1} e^{x} + c_{2} + cos (x)

y = c_{1} e^{x} + c_{2} + cos (x)

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