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Beliebt Rechnen >

y^{''}+9y^'+18y=2050e^{2t}cos(10t)

Lösung

y^{^{''}} + 9 y^{^{'}} + 18 y = 2050 e^{2 t} cos (10 t)

Lösung

y = c_{1} e^{- 3 t} + c_{2} e^{- 6 t} + 13 e^{2 t} sin (10 t) - 6 e^{2 t} cos (10 t)

Schritte zur Lösung

y^{''} (t) + 9 y^{'} (t) + 18 y = 2050 e^{2 t} cos (10 t)

Solve linear ODE:

y = c_{1} e^{- 3 t} + c_{2} e^{- 6 t} + 13 e^{2 t} sin (10 t) - 6 e^{2 t} cos (10 t)

y = c_{1} e^{- 3 t} + c_{2} e^{- 6 t} + 13 e^{2 t} sin (10 t) - 6 e^{2 t} cos (10 t)

Graph

Beliebte Beispiele

integral from-3 to 1 of sqrt(x+3)

\int_{- 3}^{1} x + 3 d x

normal y=2x^3-3x+1,(1,0)

n or ma l y = 2 x^{3} - 3 x + 1, (1, 0)

derivative of-xsin(x+cos(x))

\frac{d}{d x} (- x sin (x) + cos (x))

integral of 1/(3+cos(x))

\int \frac{1}{3 + cos ( x )} d x

integral from-pi to pi of |sin(x)|

\int_{- π}^{π} ∣ sin (x) ∣ d x