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Beliebt Rechnen >

y^{''''}-8y=0

Lösung

y^{^{''''}} - 8 y = 0

Lösung

y = c_{1} e^{2^{\frac{3}{4}} t} + c_{2} e^{- 2^{\frac{3}{4}} t} + c_{3} cos (48 t) + c_{4} sin (48 t)

Schritte zur Lösung

y^{(4)} (t) - 8 y = 0

Solve linear ODE:

y = c_{1} e^{2^{\frac{3}{4}} t} + c_{2} e^{- 2^{\frac{3}{4}} t} + c_{3} cos (48 t) + c_{4} sin (48 t)

y = c_{1} e^{2^{\frac{3}{4}} t} + c_{2} e^{- 2^{\frac{3}{4}} t} + c_{3} cos (48 t) + c_{4} sin (48 t)

Graph

Beliebte Beispiele

(d^2x)/(dt^2)+8(dx)/(dt)+4x=0

\frac{d ^{2} x}{d t ^{2}} + 8 \frac{d x}{d t} + 4 x = 0

y^{''}-6y^'+90y=0

y^{^{''}} - 6 y^{^{'}} + 90 y = 0

y^{''}+20y^'+100y=0

y^{^{''}} + 20 y^{^{'}} + 100 y = 0

y^{''}+6y^'+9y=0,y(-1)=5

y^{^{''}} + 6 y^{^{'}} + 9 y = 0, y (- 1) = 5

y^{''}+8y^'+16y=0,y^0=1,y^'0=0

y^{^{''}} + 8 y^{^{'}} + 16 y = 0, y^{0} = 1, y^{^{'}} 0 = 0