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Beliebt Rechnen >

-3y^{''}+3y^'-y=0

Lösung

- 3 y^{^{''}} + 3 y^{^{'}} - y = 0

Lösung

y = e^{\frac{t}{2}} (c_{1} cos (\frac{t}{2 3}) + c_{2} sin (\frac{t}{2 3}))

Schritte zur Lösung

- 3 y^{''} (t) + 3 y^{'} (t) - y = 0

Solve linear ODE:

y = e^{\frac{t}{2}} (c_{1} cos (\frac{t}{2 3}) + c_{2} sin (\frac{t}{2 3}))

y = e^{\frac{t}{2}} (c_{1} cos (\frac{t}{2 3}) + c_{2} sin (\frac{t}{2 3}))

Graph

Beliebte Beispiele

y^{''}+3y^{''}+3y^'+y=0

y^{^{''}} + 3 y^{^{''}} + 3 y^{^{'}} + y = 0

y^{''}+9y=0,y(0)=5,y^'(0)=2

y^{^{''}} + 9 y = 0, y (0) = 5, y^{^{'}} (0) = 2

9y^{''}+30y=0,y(0)=8,y^'(0)=8

9 y^{^{''}} + 30 y = 0, y (0) = 8, y^{^{'}} (0) = 8

q^{''}+6q^'+9q=0

q^{^{''}} + 6 q^{^{'}} + 9 q = 0

0.1y^{''}+4y^'+250y=0

0.1 y^{^{''}} + 4 y^{^{'}} + 250 y = 0