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Beliebt Rechnen >

y^{''}+y^'+256/3 x=50cos(3x)

Lösung

y^{^{''}} + y^{^{'}} + \frac{256}{3} x = 50 cos (3 x)

Lösung

y = c_{1} + c_{2} e^{- x} + \frac{5}{3} sin (3 x) - 5 cos (3 x) + \frac{- 128 x ^{2} + 256 x}{3}

Schritte zur Lösung

y^{''} (x) + y^{'} (x) + \frac{256}{3} x = 50 cos (3 x)

Solve linear ODE:

y = c_{1} + c_{2} e^{- x} + \frac{5}{3} sin (3 x) - 5 cos (3 x) + \frac{- 128 x ^{2} + 256 x}{3}

y = c_{1} + c_{2} e^{- x} + \frac{5}{3} sin (3 x) - 5 cos (3 x) + \frac{- 128 x ^{2} + 256 x}{3}

Graph

Beliebte Beispiele

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

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

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

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

y^{''}-6y^'+8y=e^{-3t}

y^{^{''}} - 6 y^{^{'}} + 8 y = e^{- 3 t}

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

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

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

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