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Beliebt Rechnen >

2y^{''}+9y^'+9y=2x

Lösung

2 y^{^{''}} + 9 y^{^{'}} + 9 y = 2 x

Lösung

y = c_{1} e^{- \frac{3 x}{2}} + c_{2} e^{- 3 x} + \frac{2 x}{9} - \frac{2}{9}

Schritte zur Lösung

2 y^{''} (x) + 9 y^{'} (x) + 9 y = 2 x

Solve linear ODE:

y = c_{1} e^{- \frac{3 x}{2}} + c_{2} e^{- 3 x} + \frac{2 x}{9} - \frac{2}{9}

y = c_{1} e^{- \frac{3 x}{2}} + c_{2} e^{- 3 x} + \frac{2 x}{9} - \frac{2}{9}

Graph

Beliebte Beispiele

y^{''}-8y+16y=t^{-3}e^{4t}

y^{^{''}} - 8 y + 16 y = t^{- 3} e^{4 t}

x^{''}+240x^'-9.8=0

x^{^{''}} + 240 x^{^{'}} - 9.8 = 0

y^{''}-6y^'+9y=t^2e^3t,y(0)=2,y^'(0)=17

y^{^{''}} - 6 y^{^{'}} + 9 y = t^{2} e^{3} t, y (0) = 2, y^{^{'}} (0) = 17

y^{''}+6y^'+13y=e^{-3x}(cos(2x))

y^{^{''}} + 6 y^{^{'}} + 13 y = e^{- 3 x} (cos (2 x))

y^{''}+8y^'+12=1-\H(t-3)

y^{^{''}} + 8 y^{^{'}} + 12 = 1 - H (t - 3)