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Beliebt Rechnen >

y^{'''}+2y^{''}-11y^'-52y=0

Lösung

y^{^{'''}} + 2 y^{^{''}} - 11 y^{^{'}} - 52 y = 0

Lösung

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

Schritte zur Lösung

y^{'''} (t) + 2 y^{''} (t) - 11 y^{'} (t) - 52 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

(d^2f)/(dx^2)+64f(x)=0

5y^{''}-7y^'+2y=0,y(0)=1,y^'(0)=-0.8y

(D^3-D^2-8D+12)y=0

2y^{''}-5y^'-7y=0,y^'(0)=3,y(0)=4

f^{''}(t)+f^'(t)+1/16 f(t)=0