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Beliebt Rechnen >

y^{''}+y^'-30y=0,y(0)=2,y^'(0)=-2

Lösung

y^{^{''}} + y^{^{'}} - 30 y = 0, y (0) = 2, y^{^{'}} (0) = - 2

Lösung

y = (2 - \frac{12}{11}) e^{5 t} + \frac{12}{11} e^{- 6 t}

Schritte zur Lösung

y^{''} (t) + y^{'} (t) - 30 y = 0

Solve linear ODE:

y = (2 - \frac{12}{11}) e^{5 t} + \frac{12}{11} e^{- 6 t}

y = (2 - \frac{12}{11}) e^{5 t} + \frac{12}{11} e^{- 6 t}

Graph

Beliebte Beispiele

(2 x + 1)^{^{'}}

derivative of (-1/x)

\frac{d}{d x} (\frac{- 1}{x})

derivative of 460(1+x/(x^2+80))

\frac{d}{d x} (460 (1 + \frac{x}{x ^{2} + 80}))

integral of (5x-2)/((x-2)^2)

\int \frac{5 x - 2}{( x - 2 ) ^{2}} d x

(x - y) d x + x d y = 0