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Beliebt Rechnen >

y^{''}+20y^'+36y=0,y(0)=1,y^'(0)=0

Lösung

y^{^{''}} + 20 y^{^{'}} + 36 y = 0, y (0) = 1, y^{^{'}} (0) = 0

Lösung

y = (1 + \frac{1}{8}) e^{- 2 t} - \frac{1}{8} e^{- 18 t}

Schritte zur Lösung

y^{''} (t) + 20 y^{'} (t) + 36 y = 0

Solve linear ODE:

y = (1 + \frac{1}{8}) e^{- 2 t} - \frac{1}{8} e^{- 18 t}

y = (1 + \frac{1}{8}) e^{- 2 t} - \frac{1}{8} e^{- 18 t}

Graph

Beliebte Beispiele

64y^{''}-48y^'+9y=0

64 y^{^{''}} - 48 y^{^{'}} + 9 y = 0

x^{''}-2x^'+2x=0

x^{^{''}} - 2 x^{^{'}} + 2 x = 0

u^{''}+0.3u^'+2.7\H(t)=0

u^{^{''}} + 0.3 u^{^{'}} + 2.7 H (t) = 0

y^{''}+5y^'+y=0,y(0)=0

y^{^{''}} + 5 y^{^{'}} + y = 0, y (0) = 0

y^{''}-5y^'-6y=0,y(0)=-1,y^'(0)=15

y^{^{''}} - 5 y^{^{'}} - 6 y = 0, y (0) = - 1, y^{^{'}} (0) = 15