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Beliebt Rechnen >

y^{''}-2/5 y=0

Lösung

y^{^{''}} - \frac{2}{5} y = 0

Lösung

y = c_{1} e^{\frac{2}{5} t} + c_{2} e^{- \frac{2}{5} t}

Schritte zur Lösung

y^{''} (t) - \frac{2}{5} y = 0

Solve linear ODE:

y = c_{1} e^{\frac{2}{5} t} + c_{2} e^{- \frac{2}{5} t}

y = c_{1} e^{\frac{2}{5} t} + c_{2} e^{- \frac{2}{5} t}

Graph

Beliebte Beispiele

y^{''''}+2y^{'''}-4y^{''}-2y^'+1/2 y=0

y^{^{''''}} + 2 y^{^{'''}} - 4 y^{^{''}} - 2 y^{^{'}} + \frac{1}{2} y = 0

2.25y^{''}-3y^'+y=0,y(0)=2,y^'(0)=-1

2.25 y^{^{''}} - 3 y^{^{'}} + y = 0, y (0) = 2, y^{^{'}} (0) = - 1

12x^{''}+6x^'+18x=0

12 x^{^{''}} + 6 x^{^{'}} + 18 x = 0

b*y=(a-v^2)y^{''}

b \cdot y = (a - v^{2}) y^{^{''}}

y^{''}=9y^'-20y

y^{^{''}} = 9 y^{^{'}} - 20 y