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Beliebt Rechnen >

(d^2y)/(dx^2)+16(dy)/(dx)+64y=0

Lösung

\frac{d ^{2} y}{d x ^{2}} + 16 \frac{d y}{d x} + 64 y = 0

Lösung

y = c_{1} e^{- 8 x} + c_{2} x e^{- 8 x}

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} + 16 \frac{d y}{d x} + 64 y = 0

Solve linear ODE:

y = c_{1} e^{- 8 x} + c_{2} x e^{- 8 x}

y = c_{1} e^{- 8 x} + c_{2} x e^{- 8 x}

Graph

Beliebte Beispiele

y^{''}+14y^'+64y=0,y(0)=5,y^'(0)=0

y^{^{''}} + 14 y^{^{'}} + 64 y = 0, y (0) = 5, y^{^{'}} (0) = 0

(D^3-3D^2-D+3)y=0

(D^{3} - 3 D^{2} - D + 3) y = 0

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

x^{^{''}} - 0.5 x = 0

y^{''}+36y=0,y(0)=-5,y^'(0)=12

y^{^{''}} + 36 y = 0, y (0) = - 5, y^{^{'}} (0) = 12