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Beliebt Rechnen >

y^{''}-3y^'-4y=0,y(0)=a,y^'(0)=-5

Lösung

y^{^{''}} - 3 y^{^{'}} - 4 y = 0, y (0) = a, y^{^{'}} (0) = - 5

Lösung

y = e^{4 t} (a + \frac{- 5 - 4 a}{5}) - \frac{e ^{- t} ( - 5 - 4 a )}{5}

Schritte zur Lösung

y^{''} (t) - 3 y^{'} (t) - 4 y = 0

Solve linear ODE:

y = e^{4 t} (a + \frac{- 5 - 4 a}{5}) - \frac{e ^{- t} ( - 5 - 4 a )}{5}

y = e^{4 t} (a + \frac{- 5 - 4 a}{5}) - \frac{e ^{- t} ( - 5 - 4 a )}{5}

Graph

Beliebte Beispiele

integral of (t^2-6)^2

\int (t^{2} - 6)^{2} d t

derivative f(x)=(x^2+5x)/(x+2)

d er i v a t i v e f (x) = \frac{x ^{2} + 5 x}{x + 2}

limit as x approaches infinity of x+3

x \to \infty lim (x + 3)

derivative (t^3)/a

d er i v a t i v e \frac{t ^{3}}{a}

y^{^{'}} = e^{2 y}