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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} cos (3 x) + c_{2} sin (3 x) + \frac{2}{9} ln (cos (3 x)) cos (3 x) + \frac{2}{3} x sin (3 x)

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} cos (3 x) + c_{2} sin (3 x) + \frac{2}{9} ln (cos (3 x)) cos (3 x) + \frac{2}{3} x sin (3 x)

y = c_{1} cos (3 x) + c_{2} sin (3 x) + \frac{2}{9} ln (cos (3 x)) cos (3 x) + \frac{2}{3} x sin (3 x)

Graph

Beliebte Beispiele

y^{''}+9y=tan(3t)

y^{^{''}} + 9 y = tan (3 t)

y^{'''}-3y^{''}+4y=4e^x-18e^{-x}

y^{^{'''}} - 3 y^{^{''}} + 4 y = 4 e^{x} - 18 e^{- x}

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

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

y^{''}-2y^'+y=e^{2t}

y^{^{''}} - 2 y^{^{'}} + y = e^{2 t}

y^{''}-2y^'+y=(e^t)/((1+t^2))+3e^t

y^{^{''}} - 2 y^{^{'}} + y = \frac{e ^{t}}{( 1 + t ^{2} )} + 3 e^{t}