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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} cos (x) + c_{2} sin (x) + x (c_{3} cos (x) + c_{4} sin (x)) + \frac{1}{9} cos (2 x) + 2

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} cos (x) + c_{2} sin (x) + x (c_{3} cos (x) + c_{4} sin (x)) + \frac{1}{9} cos (2 x) + 2

y = c_{1} cos (x) + c_{2} sin (x) + x (c_{3} cos (x) + c_{4} sin (x)) + \frac{1}{9} cos (2 x) + 2

Graph

Beliebte Beispiele

y^{''}+1/8 y^'+y=3cos(x)

y^{^{''}} + \frac{1}{8} y^{^{'}} + y = 3 cos (x)

y^{''}+8y^'+16=24x+2

y^{^{''}} + 8 y^{^{'}} + 16 = 24 x + 2

y^{''}-8y^'=-8e^{-2x}

y^{^{''}} - 8 y^{^{'}} = - 8 e^{- 2 x}

y^{''}-4y^'+4y=x^{-2}e^{2x}

y^{^{''}} - 4 y^{^{'}} + 4 y = x^{- 2} e^{2 x}

y^{''}+36y=6tan(6t)-2e^{3t}

y^{^{''}} + 36 y = 6 tan (6 t) - 2 e^{3 t}