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Beliebt Rechnen >

y^{''}+36y=12tan(6t)

Lösung

y^{^{''}} + 36 y = 12 tan (6 t)

Lösung

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

Schritte zur Lösung

y^{''} (t) + 36 y = 12 tan (6 t)

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

(-8x^{''}-16x^'+24)=8e^{2t}

(- 8 x^{^{''}} - 16 x^{^{'}} + 24) = 8 e^{2 t}

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y^{^{''}} - y^{^{'}} + 2 y = 4 e^{x}

(4d^4+20d^3+35d^2+25d+6)y=o

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2y^{''}+4y^'+8y=10cos(2t)

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