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Beliebt Rechnen >

y^{''}+4y=6cos(2x)

Lösung

y^{^{''}} + 4 y = 6 cos (2 x)

Lösung

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

Schritte zur Lösung

y^{''} (x) + 4 y = 6 cos (2 x)

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{'''}-y^{''}-25y^'+25y=6-e^x+e^{5x}

y^{^{'''}} - y^{^{''}} - 25 y^{^{'}} + 25 y = 6 - e^{x} + e^{5 x}

y^{''''}+2y^{''}+y=7+cos(3t)

y^{^{''''}} + 2 y^{^{''}} + y = 7 + cos (3 t)

y^{''}-2y^'+y=x^{(-1)/2}e^x

y^{^{''}} - 2 y^{^{'}} + y = x^{\frac{- 1}{2}} e^{x}

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

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

y^{''}-5y^'+6e^x=0

y^{^{''}} - 5 y^{^{'}} + 6 e^{x} = 0