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Beliebt Rechnen >

y^{''}+4y=-8sin(2t)

Lösung

y^{^{''}} + 4 y = - 8 sin (2 t)

Lösung

y = c_{1} cos (2 t) + c_{2} sin (2 t) + 2 t cos (2 t)

Schritte zur Lösung

y^{''} (t) + 4 y = - 8 sin (2 t)

Solve linear ODE:

y = c_{1} cos (2 t) + c_{2} sin (2 t) + 2 t cos (2 t)

y = c_{1} cos (2 t) + c_{2} sin (2 t) + 2 t cos (2 t)

Graph

Beliebte Beispiele

y^{''}-2y^'+2y=e^2x(cos(x)-9sin(x))

y^{^{''}} - 2 y^{^{'}} + 2 y = e^{2} x (cos (x) - 9 sin (x))

(d^2y)/(dt^2)-2(dy)/(dt)+y=5e^t

\frac{d ^{2} y}{d t ^{2}} - 2 \frac{d y}{d t} + y = 5 e^{t}

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

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

y^{''}+4y=3,2sin(4t)y(0)=1

y^{^{''}} + 4 y = 3, 2 sin (4 t) y (0) = 1

x^{^{''}} + 4 x = - t^{2}