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Beliebt Rechnen >

y^{''}+9y=2cos(3x)

Lösung

y^{^{''}} + 9 y = 2 cos (3 x)

Lösung

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

Schritte zur Lösung

y^{''} (x) + 9 y = 2 cos (3 x)

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

derivative 1/4 e^{3x}

d er i v a t i v e \frac{1}{4} e^{3 x}

limit as x approaches 1-of sqrt(x^2-1)

x \to 1 - lim (x^{2} - 1)

(\partial)/(\partial x)(9x^{5y})

\frac{\partial}{\partial x} (9 x^{5 y})

(d^8)/(dx^8)(sqrt(1-x^2))

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

inverselaplace (3s)/((s^2+1))

in v erse l a pl a ce \frac{3 s}{( s ^{2} + 1 )}