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Beliebt Rechnen >

y^{'''}+2y^{''}-11y^'-12y=4

Lösung

y^{^{'''}} + 2 y^{^{''}} - 11 y^{^{'}} - 12 y = 4

Lösung

y = c_{1} e^{- t} + c_{2} e^{3 t} + c_{3} e^{- 4 t} - \frac{1}{3}

Schritte zur Lösung

y^{'''} (t) + 2 y^{''} (t) - 11 y^{'} (t) - 12 y = 4

Solve linear ODE:

y = c_{1} e^{- t} + c_{2} e^{3 t} + c_{3} e^{- 4 t} - \frac{1}{3}

y = c_{1} e^{- t} + c_{2} e^{3 t} + c_{3} e^{- 4 t} - \frac{1}{3}

Graph

Beliebte Beispiele

(d^2y)/(dt^2)+12(dy)/(dt)+32y=32\H(t)

\frac{d ^{2} y}{d t ^{2}} + 12 \frac{d y}{d t} + 32 y = 32 H (t)

solvefor d,d(t)=-t^2+5t

so l v e f or d, d (t) = - t^{2} + 5 t

y^{''}+2y^'+2y=2(x+1)^2

y^{^{''}} + 2 y^{^{'}} + 2 y = 2 (x + 1)^{2}

y^{''}+3y^'-10=0,y(0)=1,y^'(0)=9

y^{^{''}} + 3 y^{^{'}} - 10 = 0, y (0) = 1, y^{^{'}} (0) = 9

y^{''}+y^'-12y=e^{2x}

y^{^{''}} + y^{^{'}} - 12 y = e^{2 x}