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Beliebt Rechnen >

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

Lösung

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

Lösung

x = e^{- t} t

Schritte zur Lösung

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

Solve linear ODE:

x = e^{- t} t

x = e^{- t} t

Graph

Beliebte Beispiele

y^{'''}-4y^{''}-32y^'=0

y^{^{'''}} - 4 y^{^{''}} - 32 y^{^{'}} = 0

y^{''}+2y^'+y=0,y^'0=-2

y^{^{''}} + 2 y^{^{'}} + y = 0, y^{^{'}} 0 = - 2

y^{''}+10/3 y^'+ay=0,y(0)=1,y^'(0)= 5/3

y^{^{''}} + \frac{10}{3} y^{^{'}} + a y = 0, y (0) = 1, y^{^{'}} (0) = \frac{5}{3}

u^{^{''}} + u^{^{'}} = 0

9y^{''}-30y^'-24y=0,y(0)=0,y^'(0)=1

9 y^{^{''}} - 30 y^{^{'}} - 24 y = 0, y (0) = 0, y^{^{'}} (0) = 1