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Beliebt Rechnen >

y^{''''}-2y=0

Lösung

y^{^{''''}} - 2 y = 0

Lösung

y = c_{1} e^{2 t} + c_{2} e^{- 2 t} + c_{3} cos (42 t) + c_{4} sin (42 t)

Schritte zur Lösung

y^{(4)} (t) - 2 y = 0

Solve linear ODE:

y = c_{1} e^{2 t} + c_{2} e^{- 2 t} + c_{3} cos (42 t) + c_{4} sin (42 t)

y = c_{1} e^{2 t} + c_{2} e^{- 2 t} + c_{3} cos (42 t) + c_{4} sin (42 t)

Graph

Beliebte Beispiele

18y^{''}+72y=0,y(0)=1,y^'(0)=-6

18 y^{^{''}} + 72 y = 0, y (0) = 1, y^{^{'}} (0) = - 6

6y^{''}-10y^'+4y=0

6 y^{^{''}} - 10 y^{^{'}} + 4 y = 0

(d^2y)/(dx^2)+4(dy)/(dx)+7y=0

\frac{d ^{2} y}{d x ^{2}} + 4 \frac{d y}{d x} + 7 y = 0

(d^2y)/(dt^2)+2(dy)/(dt)-15y=0

\frac{d ^{2} y}{d t ^{2}} + 2 \frac{d y}{d t} - 15 y = 0

(4+8x)y^{''}-8y+(4-8x)y=0

(4 + 8 x) y^{^{''}} - 8 y + (4 - 8 x) y = 0