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Beliebt Rechnen >

3y^{'''}-2y^{''}-37y^'-12y=0

Lösung

3 y^{^{'''}} - 2 y^{^{''}} - 37 y^{^{'}} - 12 y = 0

Lösung

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

Schritte zur Lösung

3 y^{'''} (t) - 2 y^{''} (t) - 37 y^{'} (t) - 12 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

-y^{''}+4y^'+5y=0

- y^{^{''}} + 4 y^{^{'}} + 5 y = 0

4y^{''}-12y^'+9y=0,y(0)=1

4 y^{^{''}} - 12 y^{^{'}} + 9 y = 0, y (0) = 1

(d^3+9d^2+27d+27)y=0

(d^{3} + 9 d^{2} + 27 d + 27) y = 0

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

y^{''}+5y^'-36y=0,y(0)=α,y^'(0)=-72

y^{^{''}} + 5 y^{^{'}} - 36 y = 0, y (0) = α, y^{^{'}} (0) = - 72