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Beliebt Rechnen >

y^{''}+10y^'+16y=2581cos(5x)

Lösung

y^{^{''}} + 10 y^{^{'}} + 16 y = 2581 cos (5 x)

Lösung

y = c_{1} e^{- 2 x} + c_{2} e^{- 8 x} + 50 sin (5 x) - 9 cos (5 x)

Schritte zur Lösung

y^{''} (x) + 10 y^{'} (x) + 16 y = 2581 cos (5 x)

Solve linear ODE:

y = c_{1} e^{- 2 x} + c_{2} e^{- 8 x} + 50 sin (5 x) - 9 cos (5 x)

y = c_{1} e^{- 2 x} + c_{2} e^{- 8 x} + 50 sin (5 x) - 9 cos (5 x)

Graph

Beliebte Beispiele

y^{''}-3y^'+2y=(e^x)/(1+e^x)

y^{^{''}} - 3 y^{^{'}} + 2 y = \frac{e ^{x}}{1 + e ^{x}}

y^{''}+y^'+1/4 y=e^x(sin(3x)-cos(3x))

y^{^{''}} + y^{^{'}} + \frac{1}{4} y = e^{x} (sin (3 x) - cos (3 x))

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

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

y^{''}+3y^'+2y=6e^x

y^{^{''}} + 3 y^{^{'}} + 2 y = 6 e^{x}

y^{''}-10y^'+25y=(x+1)e^x

y^{^{''}} - 10 y^{^{'}} + 25 y = (x + 1) e^{x}