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Beliebt Rechnen >

y^{''}-2y=0,y(0)=1,y^'(0)=6

Lösung

y^{^{''}} - 2 y = 0, y (0) = 1, y^{^{'}} (0) = 6

Lösung

y = (1 + \frac{6 - 2}{2 2}) e^{2 t} - \frac{6 - 2}{2 2} e^{- 2 t}

Schritte zur Lösung

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

Solve linear ODE:

y = (1 + \frac{6 - 2}{2 2}) e^{2 t} - \frac{6 - 2}{2 2} e^{- 2 t}

y = (1 + \frac{6 - 2}{2 2}) e^{2 t} - \frac{6 - 2}{2 2} e^{- 2 t}

Graph

Beliebte Beispiele

y^{''}+25y=0,y^'(pi)=0,y^'(0)=0

y^{^{''}} + 25 y = 0, y^{^{'}} (π) = 0, y^{^{'}} (0) = 0

y^{''''}-k^2y^{''}=0

y^{^{''''}} - k^{2} y^{^{''}} = 0

y^{''''}-y^{''}=2(4y^{'''})

y^{^{''''}} - y^{^{''}} = 2 (4 y^{^{'''}})

y^{''}-4y=0,y^'(-1)=1,y(2)=2

y^{^{''}} - 4 y = 0, y^{^{'}} (- 1) = 1, y (2) = 2

y^{'''}+y^{''}+y^'-39y=0

y^{^{'''}} + y^{^{''}} + y^{^{'}} - 39 y = 0