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

Solve linear ODE:

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

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

\frac{3 s + 2}{s ^{2} + 2 s + 10}

2 a x + b

x \to 5 lim (\frac{( x + 1 )}{x - 5})

\int tan (\frac{x}{3}) d x

f (x) 3 x^{2} - 2 x + 8, at x = - 1

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