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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} cos (3 x) + c_{2} sin (3 x) + \frac{- 2 cos ( 3 x ) ( ln ( tan ( 3 x ) + sec ( 3 x ) ) - sin ( 3 x ) ) - sin ( 6 x )}{3}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} cos (3 x) + c_{2} sin (3 x) + \frac{- 2 cos ( 3 x ) ( ln ( tan ( 3 x ) + sec ( 3 x ) ) - sin ( 3 x ) ) - sin ( 6 x )}{3}

y = c_{1} cos (3 x) + c_{2} sin (3 x) + \frac{- 2 cos ( 3 x ) ( ln ( tan ( 3 x ) + sec ( 3 x ) ) - sin ( 3 x ) ) - sin ( 6 x )}{3}

Graph

Beliebte Beispiele

integral of e^{i6x}cos(5x)

\int e^{i 6 x} cos (5 x) d x

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\int x^{2} (8 x - 3) d x

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\int \frac{x ^{3} + 2}{x ^{3}} x - \frac{1}{x ^{2}} d x

integral of sin^6(5x)

\int sin^{6} (5 x) d x

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\int \frac{1}{( sin ( x ) ) ^{2}} d x