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Beliebt Rechnen >

x^'+2x=e^{-2t}cos(t)

Lösung

x^{^{'}} + 2 x = e^{- 2 t} cos (t)

Lösung

x = \frac{sin ( t )}{e ^{2 t}} + \frac{c _{1}}{e ^{2 t}}

Schritte zur Lösung

x^{'} (t) + 2 x = e^{- 2 t} cos (t)

Solve linear ODE:

x = \frac{sin ( t )}{e ^{2 t}} + \frac{c _{1}}{e ^{2 t}}

x = \frac{sin ( t )}{e ^{2 t}} + \frac{c _{1}}{e ^{2 t}}

Graph

Beliebte Beispiele

integral of sqrt(y)ln(y)

\int y ln (y) d y

derivative f(x)=x+1

d er i v a t i v e f (x) = x + 1

derivative of 3xy^2

\frac{d}{d x} (3 x y^{2})

derivative of (sin(y)/(sin(x)))

\frac{d}{d x} (\frac{sin ( y )}{sin ( x )})

derivative y(θ)= pi/8 sin(θ)

d er i v a t i v e y (θ) = \frac{π}{8} sin (θ)