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Beliebt Rechnen >

4y^{''}+22y^'+18y=0,y(0)=3,y^'(0)=0

Lösung

4 y^{^{''}} + 22 y^{^{'}} + 18 y = 0, y (0) = 3, y^{^{'}} (0) = 0

Lösung

y = (3 + \frac{6}{7}) e^{- t} - \frac{6}{7} e^{- \frac{9 t}{2}}

Schritte zur Lösung

4 y^{''} (t) + 22 y^{'} (t) + 18 y = 0

Solve linear ODE:

y = (3 + \frac{6}{7}) e^{- t} - \frac{6}{7} e^{- \frac{9 t}{2}}

y = (3 + \frac{6}{7}) e^{- t} - \frac{6}{7} e^{- \frac{9 t}{2}}

Graph

Beliebte Beispiele

2y^{''}-5y-3y=0

2 y^{^{''}} - 5 y - 3 y = 0

y^{^{''}} + 10.5 y = 0

(d^2y)/(dx^2)+7(dy)/(dx)-12y=0

\frac{d ^{2} y}{d x ^{2}} + 7 \frac{d y}{d x} - 12 y = 0

y^{''}-4y=0,y(0)=0

y^{^{''}} - 4 y = 0, y (0) = 0

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

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