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Beliebt Rechnen >

y^{''}+9y=cos(2x)

Lösung

y^{^{''}} + 9 y = cos (2 x)

Lösung

y = c_{1} cos (3 x) + c_{2} sin (3 x) + \frac{1}{5} cos (2 x)

Schritte zur Lösung

y^{''} (x) + 9 y = cos (2 x)

Solve linear ODE:

y = c_{1} cos (3 x) + c_{2} sin (3 x) + \frac{1}{5} cos (2 x)

y = c_{1} cos (3 x) + c_{2} sin (3 x) + \frac{1}{5} cos (2 x)

Graph

Beliebte Beispiele

y^{''}-10y^'+25y=x

y^{^{''}} - 10 y^{^{'}} + 25 y = x

(d^2y)/(dx^2)+y=xsin(x)

\frac{d ^{2} y}{d x ^{2}} + y = x sin (x)

1/6 y^{''}+6y=tan(6t)-1/2 e^{2t}

\frac{1}{6} y^{^{''}} + 6 y = tan (6 t) - \frac{1}{2} e^{2 t}

9y^{''}-y=xe^{x/3},y(0)=1,y(0)=0

9 y^{^{''}} - y = x e^{\frac{x}{3}}, y (0) = 1, y (0) = 0

(D^{2} + 1) y = - t