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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+2y^'+5y=34cos(2x)

y^{^{''}} + 2 y^{^{'}} + 5 y = 34 cos (2 x)

(D^2-7D+6)y=e^{6x}+e^x

(D^{2} - 7 D + 6) y = e^{6 x} + e^{x}

(d^2y)/(dx^2)-y=4e^xcos(x)

\frac{d ^{2} y}{d x ^{2}} - y = 4 e^{x} cos (x)

y^{''}-y^'-2x=4x^2

y^{^{''}} - y^{^{'}} - 2 x = 4 x^{2}

y^{''}+2y^'+4y=2t-3cos(2t)

y^{^{''}} + 2 y^{^{'}} + 4 y = 2 t - 3 cos (2 t)