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Beliebt Rechnen >

y^{''}-6y^'+4y=0,y(0)=0,y^'(0)=1

Lösung

y^{^{''}} - 6 y^{^{'}} + 4 y = 0, y (0) = 0, y^{^{'}} (0) = 1

Lösung

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

Schritte zur Lösung

y^{''} (t) - 6 y^{'} (t) + 4 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

derivative 2(3-x^2)^7

d er i v a t i v e 2 (3 - x^{2})^{7}

derivative of sqrt(cos(2x))

\frac{d}{d x} (cos (2 x))

integral of x/(sqrt(3-4x^2))

\int \frac{x}{3 - 4 x ^{2}} d x

limit as x approaches infinity of 91

x \to \infty lim (91)

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

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