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Beliebt Rechnen >

y^{''}+9y=6cos(3x)

Lösung

y^{^{''}} + 9 y = 6 cos (3 x)

Lösung

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

Schritte zur Lösung

y^{''} (x) + 9 y = 6 cos (3 x)

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

(D^2-3D+2)y=e^{3x}

(D^{2} - 3 D + 2) y = e^{3 x}

5/6 q^{''}+10q^'+60q=600

\frac{5}{6} q^{^{''}} + 10 q^{^{'}} + 60 q = 600

x^{''}+(1.0889)/(19.6)x=cos(2t)

x^{^{''}} + \frac{1.0889}{19.6} x = cos (2 t)

0.001y^{''}+10y=10cos(100x)

0.001 y^{^{''}} + 10 y = 10 cos (100 x)

y^{''}+2y^'+y=(1+x)e^{-x}

y^{^{''}} + 2 y^{^{'}} + y = (1 + x) e^{- x}