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Beliebt Rechnen >

12y^{''}-13y^'+y=0,y(0)=12,y^'(0)= 1/12

Lösung

12 y^{^{''}} - 13 y^{^{'}} + y = 0, y (0) = 12, y^{^{'}} (0) = \frac{1}{12}

Lösung

y = - e^{t} + 13 e^{\frac{t}{12}}

Schritte zur Lösung

12 y^{''} (t) - 13 y^{'} (t) + y = 0

Solve linear ODE:

y = - e^{t} + 13 e^{\frac{t}{12}}

y = - e^{t} + 13 e^{\frac{t}{12}}

Graph

Beliebte Beispiele

16y^{''}+12y^'+9y=0

16 y^{^{''}} + 12 y^{^{'}} + 9 y = 0

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

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

(D^{2} - 9 D + 18) y = 0

y^{''''}+16y^{''}=0

y^{^{''''}} + 16 y^{^{''}} = 0

(d^2q)/(dt^2)+(dq)/(dt)+q=0

\frac{d ^{2} q}{d t ^{2}} + \frac{d q}{d t} + q = 0