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Beliebt Rechnen >

y^{''}+16y=3csc^2(4x)

Lösung

y^{^{''}} + 16 y = 3 csc^{2} (4 x)

Lösung

y = c_{1} cos (4 x) + c_{2} sin (4 x) + \frac{- 3 ln ( tan ( 2 x ) ) cos ( 4 x ) - 3}{16}

Schritte zur Lösung

y^{''} (x) + 16 y = 3 csc^{2} (4 x)

Solve linear ODE:

y = c_{1} cos (4 x) + c_{2} sin (4 x) + \frac{- 3 ln ( tan ( 2 x ) ) cos ( 4 x ) - 3}{16}

y = c_{1} cos (4 x) + c_{2} sin (4 x) + \frac{- 3 ln ( tan ( 2 x ) ) cos ( 4 x ) - 3}{16}

Graph

Beliebte Beispiele

y^{''}-4y^'+3y=(x^2-3x)e^{-x}

y^{^{''}} - 4 y^{^{'}} + 3 y = (x^{2} - 3 x) e^{- x}

y^{^{''}} + y = 5

y^{^{''}} + y = 8

y^{''}+2y=4^3+5x^2-x+7

y^{^{''}} + 2 y = 4^{3} + 5 x^{2} - x + 7

y^{''}+4y^'+6y=1+e^{-x},y(0)=0,y^'(0)=0

y^{^{''}} + 4 y^{^{'}} + 6 y = 1 + e^{- x}, y (0) = 0, y^{^{'}} (0) = 0