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Beliebt Rechnen >

y^{''}-5y^'-6y=0,y(0)=5,y^'(0)=12

Lösung

y^{^{''}} - 5 y^{^{'}} - 6 y = 0, y (0) = 5, y^{^{'}} (0) = 12

Lösung

y = (5 - \frac{18}{7}) e^{6 t} + \frac{18}{7} e^{- t}

Schritte zur Lösung

y^{''} (t) - 5 y^{'} (t) - 6 y = 0

Solve linear ODE:

y = (5 - \frac{18}{7}) e^{6 t} + \frac{18}{7} e^{- t}

y = (5 - \frac{18}{7}) e^{6 t} + \frac{18}{7} e^{- t}

Graph

Beliebte Beispiele

integral of 1/(10x^{1/2)-x}

\int \frac{1}{10 x ^{\frac{1}{2}} - x} d x

integral of 1/((1-x)^2)

\int \frac{1}{( 1 - x ) ^{2}} d x

integral of (3y^2-t^2)/(y^5)

\int \frac{3 y ^{2} - t ^{2}}{y ^{5}} d y

derivative of ln(9x^2)

\frac{d}{d x} (ln (9) x^{2})

limit as x approaches-8-of (-5x)/(x+8)

x \to - 8 - lim (\frac{- 5 x}{x + 8})