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Beliebt Rechnen >

y^{''}-4y^'=2cos^2(4x)

Lösung

y^{^{''}} - 4 y^{^{'}} = 2 cos^{2} (4 x)

Lösung

y = c_{1} e^{4 x} + c_{2} + \frac{- 40 x - 2 cos ( 8 x ) - sin ( 8 x ) - 10}{160}

Schritte zur Lösung

y^{''} (x) - 4 y^{'} (x) = 2 cos^{2} (4 x)

Solve linear ODE:

y = c_{1} e^{4 x} + c_{2} + \frac{- 40 x - 2 cos ( 8 x ) - sin ( 8 x ) - 10}{160}

y = c_{1} e^{4 x} + c_{2} + \frac{- 40 x - 2 cos ( 8 x ) - sin ( 8 x ) - 10}{160}

Graph

Beliebte Beispiele

y^{''}+2y^'-3y=16e^{-3t}

y^{^{''}} + 2 y^{^{'}} - 3 y = 16 e^{- 3 t}

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

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

(D^2-3D+2)y=2x^3-9x^2+6x

(D^{2} - 3 D + 2) y = 2 x^{3} - 9 x^{2} + 6 x

y^{''}+6y^'+13y=7cos(3t+pi/4)

y^{^{''}} + 6 y^{^{'}} + 13 y = 7 cos (3 t + \frac{π}{4})

y^{''}+2y^'-8y=e^{2t}+5t

y^{^{''}} + 2 y^{^{'}} - 8 y = e^{2 t} + 5 t