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Beliebt Rechnen >

y^{''}+4y^'+5y=0,y(0)=2,y^'(0)=-7

Lösung

y^{^{''}} + 4 y^{^{'}} + 5 y = 0, y (0) = 2, y^{^{'}} (0) = - 7

Lösung

y = e^{- 2 t} (2 cos (t) - 3 sin (t))

Schritte zur Lösung

y^{''} (t) + 4 y^{'} (t) + 5 y = 0

Solve linear ODE:

y = e^{- 2 t} (2 cos (t) - 3 sin (t))

y = e^{- 2 t} (2 cos (t) - 3 sin (t))

Graph

Beliebte Beispiele

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

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

y^{''}+8y^'+20y=0,y(0)=15,y^'(0)=-6

y^{^{''}} + 8 y^{^{'}} + 20 y = 0, y (0) = 15, y^{^{'}} (0) = - 6

y^{''}+y=0,y^'(pi/2)=0,y^'(0)=0

y^{^{''}} + y = 0, y^{^{'}} (\frac{π}{2}) = 0, y^{^{'}} (0) = 0

y^{''}-4y^'-2y=0

y^{^{''}} - 4 y^{^{'}} - 2 y = 0

y^{''}-6y^'-6y=0

y^{^{''}} - 6 y^{^{'}} - 6 y = 0