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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{(3 + 6) x} + c_{2} e^{(3 - 6) x} - \frac{e ^{x} x}{2} + e^{x}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{(3 + 6) x} + c_{2} e^{(3 - 6) x} - \frac{e ^{x} x}{2} + e^{x}

y = c_{1} e^{(3 + 6) x} + c_{2} e^{(3 - 6) x} - \frac{e ^{x} x}{2} + e^{x}

Graph

Beliebte Beispiele

3y^{''}+8y^'+4y=8x^2-8x+2+e^{-2x}

3 y^{^{''}} + 8 y^{^{'}} + 4 y = 8 x^{2} - 8 x + 2 + e^{- 2 x}

y^{''''}+2y^{''}+y=3+cos(3t)

y^{^{''''}} + 2 y^{^{''}} + y = 3 + cos (3 t)

y^{''}+2y^'+y=t,y(0)=1,y^'(0)=2

y^{^{''}} + 2 y^{^{'}} + y = t, y (0) = 1, y^{^{'}} (0) = 2

y^{''}-2y^'+y=x^{-1}e^x

y^{^{''}} - 2 y^{^{'}} + y = x^{- 1} e^{x}

(d^2-2d+2)y=3e^xsin(x)

(d^{2} - 2 d + 2) y = 3 e^{x} sin (x)