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Beliebt Rechnen >

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

Lösung

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

Lösung

x = e^{- t} (cos (t) + sin (t))

Schritte zur Lösung

x^{''} (t) + 2 x^{'} (t) + 2 x = 0

Solve linear ODE:

x = e^{- t} (cos (t) + sin (t))

x = e^{- t} (cos (t) + sin (t))

Graph

Beliebte Beispiele

64 y^{^{''}} - 81 y = 0

y^{''}+9y=0,y(0)=3,y^'(0)=-4

y^{^{''}} + 9 y = 0, y (0) = 3, y^{^{'}} (0) = - 4

y^{''}-6y^'+25y=0,y(0)=2,y^'(0)=2

y^{^{''}} - 6 y^{^{'}} + 25 y = 0, y (0) = 2, y^{^{'}} (0) = 2

y^{''}=5y,y(0)=-2,y(2)=10

y^{^{''}} = 5 y, y (0) = - 2, y (2) = 10

y^{''}-8y^'+32y=0,y(0)=5,y^'(0)=-4

y^{^{''}} - 8 y^{^{'}} + 32 y = 0, y (0) = 5, y^{^{'}} (0) = - 4