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Beliebt Rechnen >

y^{''}-2y^'+3y=6sin(3x)-6cos(3x)

Lösung

y^{^{''}} - 2 y^{^{'}} + 3 y = 6 sin (3 x) - 6 cos (3 x)

Lösung

y = e^{x} (c_{1} cos (2 x) + c_{2} sin (2 x)) + cos (3 x)

Schritte zur Lösung

y^{''} (x) - 2 y^{'} (x) + 3 y = 6 sin (3 x) - 6 cos (3 x)

Solve linear ODE:

y = e^{x} (c_{1} cos (2 x) + c_{2} sin (2 x)) + cos (3 x)

y = e^{x} (c_{1} cos (2 x) + c_{2} sin (2 x)) + cos (3 x)

Graph

Beliebte Beispiele

(10+x^2)y^'-2xy=0

(10 + x^{2}) y^{^{'}} - 2 x y = 0

integral of x^2-3x+7

\int x^{2} - 3 x + 7 d x

derivative 2/3 x^6

d er i v a t i v e \frac{2}{3} x^{6}

integral from 7 to 8 of 1/((x-7)^{3/2)}

\int_{7}^{8} \frac{1}{( x - 7 ) ^{\frac{3}{2}}} d x

limit as x approaches 0 of x^{-8}

x \to 0 lim (x^{- 8})