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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{2 x} + c_{2} e^{- 3 x} - \frac{x}{2} + \frac{1}{4}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{2 x} + c_{2} e^{- 3 x} - \frac{x}{2} + \frac{1}{4}

y = c_{1} e^{2 x} + c_{2} e^{- 3 x} - \frac{x}{2} + \frac{1}{4}

Graph

Beliebte Beispiele

y^{''}-16y^'+64y=2e^{8x}

y^{^{''}} - 16 y^{^{'}} + 64 y = 2 e^{8 x}

y^{''}+4y=16t,y^0=3,y^'0=-6

y^{^{''}} + 4 y = 16 t, y^{0} = 3, y^{^{'}} 0 = - 6

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

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

y^{^{''}} - 7 y = t^{2}

(y^{''}+2y^'+5)=e^x

(y^{^{''}} + 2 y^{^{'}} + 5) = e^{x}