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Beliebt Rechnen >

x^{''}-5x^'+6x=cos(t)e^{-t}

Lösung

x^{^{''}} - 5 x^{^{'}} + 6 x = cos (t) e^{- t}

Lösung

x = c_{1} e^{3 t} + c_{2} e^{2 t} - \frac{7}{170} e^{- t} sin (t) + \frac{11}{170} e^{- t} cos (t)

Schritte zur Lösung

x^{''} (t) - 5 x^{'} (t) + 6 x = cos (t) e^{- t}

Solve linear ODE:

x = c_{1} e^{3 t} + c_{2} e^{2 t} - \frac{7}{170} e^{- t} sin (t) + \frac{11}{170} e^{- t} cos (t)

x = c_{1} e^{3 t} + c_{2} e^{2 t} - \frac{7}{170} e^{- t} sin (t) + \frac{11}{170} e^{- t} cos (t)

Graph

Beliebte Beispiele

tangent f(x)= 2/(x+3),\at a=-4

t an g e n t f (x) = \frac{2}{x + 3}, at a = - 4

sum from n=1 to infinity of sin(n+1)

n = 1 \sum \infty sin (n + 1)

tangent (10-x)y^2=x^3,(2,1)

t an g e n t (10 - x) y^{2} = x^{3}, (2, 1)

integral of 1/(sqrt(16x^2+4))

\int \frac{1}{16 x ^{2} + 4} d x

derivative sqrt(x)+(x-6)^6

d er i v a t i v e x + (x - 6)^{6}