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Beliebt Rechnen >

y^{''}+2y^'-3y=0,y(0)=3,y^'(0)=2

Lösung

y^{^{''}} + 2 y^{^{'}} - 3 y = 0, y (0) = 3, y^{^{'}} (0) = 2

Lösung

y = (3 - \frac{1}{4}) e^{t} + \frac{1}{4} e^{- 3 t}

Schritte zur Lösung

y^{''} (t) + 2 y^{'} (t) - 3 y = 0

Solve linear ODE:

y = (3 - \frac{1}{4}) e^{t} + \frac{1}{4} e^{- 3 t}

y = (3 - \frac{1}{4}) e^{t} + \frac{1}{4} e^{- 3 t}

Graph

Beliebte Beispiele

25y^{''}-30y^'+9y=0,y^1(0)=e^3 x/5

25 y^{^{''}} - 30 y^{^{'}} + 9 y = 0, y^{1} (0) = e^{3} \frac{x}{5}

4y^{''}-4y^'+y=0,y(0)=1,y^'(0)=-1.5

4 y^{^{''}} - 4 y^{^{'}} + y = 0, y (0) = 1, y^{^{'}} (0) = - 1.5

(d^{4} - 16) y = 0

y^{''}-2/3 y^'+1/9 y=0

y^{^{''}} - \frac{2}{3} y^{^{'}} + \frac{1}{9} y = 0

y^{^{'}} = 4 y^{^{''}}