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Beliebt Rechnen >

y^{''}=2y+y^'

Lösung

y^{^{''}} = 2 y + y^{^{'}}

Lösung

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

Schritte zur Lösung

y^{''} (t) = 2 y + y^{'} (t)

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

linear y^{''''}-y^{''}=0

l in e a r y^{^{''''}} - y^{^{''}} = 0

y^{''}-6y^'+9y=0,y(0)=23,y(1)=0

y^{^{''}} - 6 y^{^{'}} + 9 y = 0, y (0) = 23, y (1) = 0

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

y^{''}+9y=0,y(0)=4,y^'(0)=1

y^{^{''}} + 9 y = 0, y (0) = 4, y^{^{'}} (0) = 1

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

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