What is the solution for derivative of (dy/(dx))+y=-1 ?

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

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derivative of (dy/(dx))+y=-1

\frac{d}{d x} (\frac{d y}{d x}) + y = - 1

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

Solution steps

\frac{d ^{2} y}{d x ^{2}} + y = - 1

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

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\frac{\partial}{\partial x} (e^{- 4 x})

x \to \frac{π}{2} lim (4 sec (x))

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