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Beliebt Rechnen >

y^{''}+5y^'-6y=2sin(4x)

Lösung

y^{^{''}} + 5 y^{^{'}} - 6 y = 2 sin (4 x)

Lösung

y = c_{1} e^{x} + c_{2} e^{- 6 x} - \frac{11}{221} sin (4 x) - \frac{10}{221} cos (4 x)

Schritte zur Lösung

y^{''} (x) + 5 y^{'} (x) - 6 y = 2 sin (4 x)

Solve linear ODE:

y = c_{1} e^{x} + c_{2} e^{- 6 x} - \frac{11}{221} sin (4 x) - \frac{10}{221} cos (4 x)

y = c_{1} e^{x} + c_{2} e^{- 6 x} - \frac{11}{221} sin (4 x) - \frac{10}{221} cos (4 x)

Graph

Beliebte Beispiele

y^{''}+3y^'+4y=20x+33

y^{^{''}} + 3 y^{^{'}} + 4 y = 20 x + 33

y^{''}-2y^'+5y=cos(4x)+1

y^{^{''}} - 2 y^{^{'}} + 5 y = cos (4 x) + 1

y^{''}-2y^'+y=3

y^{^{''}} - 2 y^{^{'}} + y = 3

y^{''}+2y= 1/(cos(sqrt(2)x))

y^{^{''}} + 2 y = \frac{1}{cos ( 2 x )}

y^{''}-4y^'+4y=t^{-3}e^{2t}

y^{^{''}} - 4 y^{^{'}} + 4 y = t^{- 3} e^{2 t}