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Beliebt Rechnen >

y^{''}+10y^'=0,y(0)=-2,y^'(0)=-2

Lösung

y^{^{''}} + 10 y^{^{'}} = 0, y (0) = - 2, y^{^{'}} (0) = - 2

Lösung

y = - 2 - \frac{1}{5} + \frac{1}{5} e^{- 10 t}

Schritte zur Lösung

y^{''} (t) + 10 y^{'} (t) = 0

Solve linear ODE:

y = - 2 - \frac{1}{5} + \frac{1}{5} e^{- 10 t}

y = - 2 - \frac{1}{5} + \frac{1}{5} e^{- 10 t}

Graph

Beliebte Beispiele

-y^{''}+9*pi^2y=0

- y^{^{''}} + 9 \cdot π^{2} y = 0

y^{''}+4y=0,y(0)=cos(2x)

y^{^{''}} + 4 y = 0, y (0) = cos (2 x)

y^{''}-9y^'-3y=0

y^{^{''}} - 9 y^{^{'}} - 3 y = 0

(y^{''})/8+5y^'+4y=0,y(0)=0,y^'(0)=-5

\frac{y ^{^{''}}}{8} + 5 y^{^{'}} + 4 y = 0, y (0) = 0, y^{^{'}} (0) = - 5

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

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