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Beliebt Rechnen >

y^{''}-4y=0,y^0=0,y^'0=1

Lösung

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

Lösung

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

Schritte zur Lösung

y^{''} (t) - 4 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+10y^'+25y=0,y(0)=-4,y^'(0)=16

y^{^{''}} + 10 y^{^{'}} + 25 y = 0, y (0) = - 4, y^{^{'}} (0) = 16

(D^2+9)y=0,Dy=0,y=2,x=30

(D^{2} + 9) y = 0, Dy = 0, y = 2, x = 30

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

y^{'''}+2y^{''}-63y^'=0

y^{^{'''}} + 2 y^{^{''}} - 63 y^{^{'}} = 0

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

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