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Beliebt Rechnen >

y^{''}+9y=11sec^2(3t)

Lösung

y^{^{''}} + 9 y = 11 sec^{2} (3 t)

Lösung

y = c_{1} cos (3 t) + c_{2} sin (3 t) + \frac{- 11 + 11 ln ( tan ( 3 t ) + sec ( 3 t ) ) sin ( 3 t )}{9}

Schritte zur Lösung

y^{''} (t) + 9 y = 11 sec^{2} (3 t)

Solve linear ODE:

y = c_{1} cos (3 t) + c_{2} sin (3 t) + \frac{- 11 + 11 ln ( tan ( 3 t ) + sec ( 3 t ) ) sin ( 3 t )}{9}

y = c_{1} cos (3 t) + c_{2} sin (3 t) + \frac{- 11 + 11 ln ( tan ( 3 t ) + sec ( 3 t ) ) sin ( 3 t )}{9}

Graph

Beliebte Beispiele

y^{''}-y^'=ex(10+x^2)

y^{^{''}} - y^{^{'}} = e x (10 + x^{2})

y^{''}+9y= 1/9 sin(x)

y^{^{''}} + 9 y = \frac{1}{9} sin (x)

y^{'''}-5y^{''}+6y^'=7+7sin(x)

y^{^{'''}} - 5 y^{^{''}} + 6 y^{^{'}} = 7 + 7 sin (x)

y^{''}+y^'=6x+e^x

y^{^{''}} + y^{^{'}} = 6 x + e^{x}

y^{''''}-y=13t+cos(t)

y^{^{''''}} - y = 13 t + cos (t)