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Beliebt Rechnen >

y^{'''}+2y^{''}-y^'-2y=sin(3t)

Lösung

y^{^{'''}} + 2 y^{^{''}} - y^{^{'}} - 2 y = sin (3 t)

Lösung

y = c_{1} e^{- 2 t} + c_{2} e^{- t} + c_{3} e^{t} - \frac{1}{65} sin (3 t) + \frac{3}{130} cos (3 t)

Schritte zur Lösung

y^{'''} (t) + 2 y^{''} (t) - y^{'} (t) - 2 y = sin (3 t)

Solve linear ODE:

y = c_{1} e^{- 2 t} + c_{2} e^{- t} + c_{3} e^{t} - \frac{1}{65} sin (3 t) + \frac{3}{130} cos (3 t)

y = c_{1} e^{- 2 t} + c_{2} e^{- t} + c_{3} e^{t} - \frac{1}{65} sin (3 t) + \frac{3}{130} cos (3 t)

Graph

Beliebte Beispiele

derivative (3x)/(sqrt(x))

d er i v a t i v e \frac{3 x}{x}

integral of-x^3-8x+5

\int - x^{3} - 8 x + 5 d x

limit as x approaches 0 of 1/(x+x^5)

x \to 0 lim (\frac{1}{x + x ^{5}})

fläche 2x^2-x^3,y=0

a re a 2 x^{2} - x^{3}, y = 0

integral of-3/2 x^2

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