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Beliebt Rechnen >

y^{''}-y^'-6y=0,y(0)=1,y^'(0)=0

Lösung

y^{^{''}} - y^{^{'}} - 6 y = 0, y (0) = 1, y^{^{'}} (0) = 0

Lösung

y = (1 - \frac{3}{5}) e^{3 t} + \frac{3}{5} e^{- 2 t}

Schritte zur Lösung

y^{''} (t) - y^{'} (t) - 6 y = 0

Solve linear ODE:

y = (1 - \frac{3}{5}) e^{3 t} + \frac{3}{5} e^{- 2 t}

y = (1 - \frac{3}{5}) e^{3 t} + \frac{3}{5} e^{- 2 t}

Graph

Beliebte Beispiele

integral of 9/(x(x+3))

\int \frac{9}{x ( x + 3 )} d x

integral of ln(y)

\int ln (y) d y

integral of 3x^2-24x+36

\int 3 x^{2} - 24 x + 36 d x

(dy)/(dx)=((x-y))/(x+2y),y(0)=1

\frac{d y}{d x} = \frac{( x - y )}{x + 2 y}, y (0) = 1

f^{''}(x)=x^{1/14}

f^{^{''}} (x) = x^{\frac{1}{14}}