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Beliebt Rechnen >

(d^2y)/(dx^2)+7(dy)/(dx)-8y=0

Lösung

\frac{d ^{2} y}{d x ^{2}} + 7 \frac{d y}{d x} - 8 y = 0

Lösung

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

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} + 7 \frac{d y}{d x} - 8 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-16y^'+113y=0

y^{^{''}} - 16 y^{^{'}} + 113 y = 0

(d^4x)/(dt^4)-x=0

\frac{d ^{4} x}{d t ^{4}} - x = 0

y^{''''}-44y^{'''}+484y^{''}=0

y^{^{''''}} - 44 y^{^{'''}} + 484 y^{^{''}} = 0

y^{'''}+4y^{''}-128y=0,y(0)=e^{4x}

y^{^{'''}} + 4 y^{^{''}} - 128 y = 0, y (0) = e^{4 x}

y^{''}+2y^'+24y=0

y^{^{''}} + 2 y^{^{'}} + 24 y = 0