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Beliebt Rechnen >

x^{''}+x^'+0.25x=0,x(0)=2,x^'(0)= 1/3

Lösung

x^{^{''}} + x^{^{'}} + 0.25 x = 0, x (0) = 2, x^{^{'}} (0) = \frac{1}{3}

Lösung

x = 2 e^{- \frac{t}{2}} + \frac{4 e ^{- \frac{t}{2}} t}{3}

Schritte zur Lösung

x^{''} (t) + x^{'} (t) + 0.25 x = 0

Solve linear ODE:

x = 2 e^{- \frac{t}{2}} + \frac{4 e ^{- \frac{t}{2}} t}{3}

x = 2 e^{- \frac{t}{2}} + \frac{4 e ^{- \frac{t}{2}} t}{3}

Graph

Beliebte Beispiele

y^{''}+9y=0,y(pi/6)=1,y(0)=-1

y^{^{''}} + 9 y = 0, y (\frac{π}{6}) = 1, y (0) = - 1

y^{''}+y^'-5y=0

y^{^{''}} + y^{^{'}} - 5 y = 0

(y^{''}-7y) 1/9 =0

(y^{^{''}} - 7 y) \frac{1}{9} = 0

2y^{''}+10y^'+18y=0

2 y^{^{''}} + 10 y^{^{'}} + 18 y = 0

150y^{'''}+25y^{''}+y^'=0

150 y^{^{'''}} + 25 y^{^{''}} + y^{^{'}} = 0