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Beliebt Rechnen >

y^{''}+4y^'-5y=0,y(0)=1,y^'(0)=7

Lösung

y^{^{''}} + 4 y^{^{'}} - 5 y = 0, y (0) = 1, y^{^{'}} (0) = 7

Lösung

y = 2 e^{t} - e^{- 5 t}

Schritte zur Lösung

y^{''} (t) + 4 y^{'} (t) - 5 y = 0

Solve linear ODE:

y = 2 e^{t} - e^{- 5 t}

y = 2 e^{t} - e^{- 5 t}

Graph

Beliebte Beispiele

(d^2y)/(dx^2)-8(dy)/(dx)+16y=0

\frac{d ^{2} y}{d x ^{2}} - 8 \frac{d y}{d x} + 16 y = 0

y^{'''}+4y^{''}+5y^'+2y=0

y^{^{'''}} + 4 y^{^{''}} + 5 y^{^{'}} + 2 y = 0

y^{''}-2y^'-5y=0

y^{^{''}} - 2 y^{^{'}} - 5 y = 0

y^{''}+y^'+9.25y=0

y^{^{''}} + y^{^{'}} + 9.25 y = 0

y^{''''}+8y^{''}+16y=0

y^{^{''''}} + 8 y^{^{''}} + 16 y = 0