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Beliebt Rechnen >

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

Lösung

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

Lösung

y = e^{- \frac{x}{16}} (c_{1} cos (\frac{255 x}{16}) + c_{2} sin (\frac{255 x}{16})) + 24 sin (x)

Schritte zur Lösung

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

Solve linear ODE:

y = e^{- \frac{x}{16}} (c_{1} cos (\frac{255 x}{16}) + c_{2} sin (\frac{255 x}{16})) + 24 sin (x)

y = e^{- \frac{x}{16}} (c_{1} cos (\frac{255 x}{16}) + c_{2} sin (\frac{255 x}{16})) + 24 sin (x)

Graph

Beliebte Beispiele

y^{''}+5y^'-6y=21e^t

y^{^{''}} + 5 y^{^{'}} - 6 y = 21 e^{t}

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

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

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}