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Beliebt Rechnen >

y^{''}+y^'-20y=0,y(0)=1,y(0)=22

Lösung

y^{^{''}} + y^{^{'}} - 20 y = 0, y (0) = 1, y (0) = 22

Lösung

y = (1 - c_{2}) e^{4 t} + c_{2} e^{- 5 t}

Schritte zur Lösung

y^{''} (t) + y^{'} (t) - 20 y = 0

Solve linear ODE:

y = (1 - c_{2}) e^{4 t} + c_{2} e^{- 5 t}

y = (1 - c_{2}) e^{4 t} + c_{2} e^{- 5 t}

Graph

Beliebte Beispiele

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

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

(d^2y)/(dx^2)-5(dy)/(dx)=0

\frac{d ^{2} y}{d x ^{2}} - 5 \frac{d y}{d x} = 0

y^{''}+6y^'+10y=0,y(0)=4

y^{^{''}} + 6 y^{^{'}} + 10 y = 0, y (0) = 4

6y^{''}+5y^'-6y=0

6 y^{^{''}} + 5 y^{^{'}} - 6 y = 0

y^{''}+4/3 y^'+αy=0,y(0)=1,y^'(0)=-16/3

y^{^{''}} + \frac{4}{3} y^{^{'}} + α y = 0, y (0) = 1, y^{^{'}} (0) = - \frac{16}{3}