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Beliebt Rechnen >

(d^2y)/(dt^2)+2y=cos(at)

Lösung

\frac{d ^{2} y}{d t ^{2}} + 2 y = cos (a t)

Lösung

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

Schritte zur Lösung

\frac{d ^{2} y}{d t ^{2}} + 2 y = cos (a t)

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+2*y^'+y=e^{-t}*ln(t)

y^{^{''}} + 2 \cdot y^{^{'}} + y = e^{- t} \cdot ln (t)

y^{''}-y^'-30y=84e^{2t}

y^{^{''}} - y^{^{'}} - 30 y = 84 e^{2 t}

y^{''}+2y^'+y=e^{(-t)}ln(t)

y^{^{''}} + 2 y^{^{'}} + y = e^{(- t)} ln (t)

y^{''}-2y^'+4y=4x^2+8

y^{^{''}} - 2 y^{^{'}} + 4 y = 4 x^{2} + 8

y^{''}+9y=cos(3t),y(0)=5,y^'(0)=4

y^{^{''}} + 9 y = cos (3 t), y (0) = 5, y^{^{'}} (0) = 4