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Beliebt Rechnen >

(d^2y)/(dt^2)-4y=0

Lösung

\frac{d ^{2} y}{d t ^{2}} - 4 y = 0

Lösung

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

Schritte zur Lösung

\frac{d ^{2} y}{d t ^{2}} - 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

2u^{''}+7u^'-4\H(t)=0

2 u^{^{''}} + 7 u^{^{'}} - 4 H (t) = 0

3y^{'''}-12y^'-4y^{''}=0

3 y^{^{'''}} - 12 y^{^{'}} - 4 y^{^{''}} = 0

5y^{''}-13y^'-6y=0

5 y^{^{''}} - 13 y^{^{'}} - 6 y = 0

y^{^{''}} + 48 y^{^{'}} = 0

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

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