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Beliebt Rechnen >

y^{''}-4y^'+8y=0,y(0)=0,y^'(0)=2

Lösung

y^{^{''}} - 4 y^{^{'}} + 8 y = 0, y (0) = 0, y^{^{'}} (0) = 2

Lösung

y = e^{2 t} sin (2 t)

Schritte zur Lösung

y^{''} (t) - 4 y^{'} (t) + 8 y = 0

Solve linear ODE:

y = e^{2 t} sin (2 t)

y = e^{2 t} sin (2 t)

Graph

Beliebte Beispiele

y^{''}+2y^'+y=0,y^'(0)=6,y(1)=8

y^{^{''}} + 2 y^{^{'}} + y = 0, y^{^{'}} (0) = 6, y (1) = 8

y^{''}+4y^'+6.25y=0

y^{^{''}} + 4 y^{^{'}} + 6.25 y = 0

2y^{''}+3y^'+y=0

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

y^{''}-6y^'+13y=0,y(0)=0,y^'(0)=-9

y^{^{''}} - 6 y^{^{'}} + 13 y = 0, y (0) = 0, y^{^{'}} (0) = - 9

25y^{''}-60y^'+36y=0

25 y^{^{''}} - 60 y^{^{'}} + 36 y = 0