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Beliebt Rechnen >

y^{''}+4y=csc^2(2x)

Lösung

y^{^{''}} + 4 y = csc^{2} (2 x)

Lösung

y = c_{1} cos (2 x) + c_{2} sin (2 x) - \frac{1}{4} ln (tan (x)) cos (2 x) + \frac{1}{8} sin (2 x) (- cot (x) - tan (x))

Schritte zur Lösung

y^{''} (x) + 4 y = csc^{2} (2 x)

Solve linear ODE:

y = c_{1} cos (2 x) + c_{2} sin (2 x) - \frac{1}{4} ln (tan (x)) cos (2 x) + \frac{1}{8} sin (2 x) (- cot (x) - tan (x))

y = c_{1} cos (2 x) + c_{2} sin (2 x) - \frac{1}{4} ln (tan (x)) cos (2 x) + \frac{1}{8} sin (2 x) (- cot (x) - tan (x))

Graph

Beliebte Beispiele

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

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

y^{''}+y^'-6y=-5e^{2x}

y^{^{''}} + y^{^{'}} - 6 y = - 5 e^{2 x}

y^{''}+4y^'+3y=4e^{-3x}+18x+15

y^{^{''}} + 4 y^{^{'}} + 3 y = 4 e^{- 3 x} + 18 x + 15

y^{''}-2y^'-8y=te^{-4t}

y^{^{''}} - 2 y^{^{'}} - 8 y = t e^{- 4 t}

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

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