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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''''}+4y^{'''}+y^{''}-5y^'+y=0

y^{^{''''}} + 4 y^{^{'''}} + y^{^{''}} - 5 y^{^{'}} + y = 0

y^{''}+3y^'-3y=0

y^{^{''}} + 3 y^{^{'}} - 3 y = 0

x^{''}+2x^'+1^2x=0

x^{^{''}} + 2 x^{^{'}} + 1^{2} x = 0

y^{''}+3y^'-4y=0,y(0)=5,y^'(0)=10

y^{^{''}} + 3 y^{^{'}} - 4 y = 0, y (0) = 5, y^{^{'}} (0) = 10

x^{''}-2x^'+3x=0

x^{^{''}} - 2 x^{^{'}} + 3 x = 0