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

Lösung

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

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

Schritte zur Lösung

\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

\int (e^{x} + e) d x

\frac{\partial}{\partial x} (- (x - 2) (y - 2) (x + y - 3))

\int \frac{4 x}{3 x ^{2} - 1} d x

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

x \to \frac{π}{2} lim (4 sec (x))