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Beliebt Rechnen >

(d^2y)/(dx^2)-12(dy)/(dx)-64y=0

Lösung

\frac{d ^{2} y}{d x ^{2}} - 12 \frac{d y}{d x} - 64 y = 0

Lösung

y = c_{1} e^{16 x} + c_{2} e^{- 4 x}

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} - 12 \frac{d y}{d x} - 64 y = 0

Solve linear ODE:

y = c_{1} e^{16 x} + c_{2} e^{- 4 x}

y = c_{1} e^{16 x} + c_{2} e^{- 4 x}

Graph

Beliebte Beispiele

10/32 y^{''}+1/6 y=0,y(0)= 1/6 ,y^'(0)=-1

\frac{10}{32} y^{^{''}} + \frac{1}{6} y = 0, y (0) = \frac{1}{6}, y^{^{'}} (0) = - 1

10000y^{''}-729y=0,y(0)=9

10000 y^{^{''}} - 729 y = 0, y (0) = 9

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

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

y^{^{''}} = 13 \cdot y

y^{''}+2y^'+1y=0,y(0)=6,y^'(0)=-1

y^{^{''}} + 2 y^{^{'}} + 1 y = 0, y (0) = 6, y^{^{'}} (0) = - 1