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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

y^{''} (t) - 4 c^{2} y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

(d^2y)/(dt^2)+5(dy)/(dt)+4y=0

\frac{d ^{2} y}{d t ^{2}} + 5 \frac{d y}{d t} + 4 y = 0

y^{'''}-2y^{''}-11y^'+12y=0

y^{^{'''}} - 2 y^{^{''}} - 11 y^{^{'}} + 12 y = 0

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

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

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

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

1/16 (d^2x)/(dt^2)=-4x

\frac{1}{16} \frac{d ^{2} x}{d t ^{2}} = - 4 x