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Beliebt Rechnen >

y^{'''}+6y^{''}-36y^'-216y=0

Lösung

y^{^{'''}} + 6 y^{^{''}} - 36 y^{^{'}} - 216 y = 0

Lösung

y = c_{1} e^{6 t} + c_{2} e^{- 6 t} + c_{3} t e^{- 6 t}

Schritte zur Lösung

y^{'''} (t) + 6 y^{''} (t) - 36 y^{'} (t) - 216 y = 0

Solve linear ODE:

y = c_{1} e^{6 t} + c_{2} e^{- 6 t} + c_{3} t e^{- 6 t}

y = c_{1} e^{6 t} + c_{2} e^{- 6 t} + c_{3} t e^{- 6 t}

Graph

Beliebte Beispiele

(D^{2} - 2 D + 1) y = 0

(d^2y)/(dx^2)-0.15y=0

\frac{d ^{2} y}{d x ^{2}} - 0.15 y = 0

y^{''}-15y^'+50y=0,y(0)=11,y^'(0)=-65

y^{^{''}} - 15 y^{^{'}} + 50 y = 0, y (0) = 11, y^{^{'}} (0) = - 65

121y^{'''}+176y^{''}+64y^'=0

121 y^{^{'''}} + 176 y^{^{''}} + 64 y^{^{'}} = 0

(d^2y)/(dx^2)+8*(dy)/(dx)+5*y=0

\frac{d ^{2} y}{d x ^{2}} + 8 \cdot \frac{d y}{d x} + 5 \cdot y = 0