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Beliebt Rechnen >

y^{''}-4y^'+4y=x^{-1}e^{2x}

Lösung

y^{^{''}} - 4 y^{^{'}} + 4 y = x^{- 1} e^{2 x}

Lösung

y = c_{1} e^{2 x} + c_{2} x e^{2 x} - e^{2 x} x + e^{2 x} x ln (x)

Schritte zur Lösung

y^{''} (x) - 4 y^{'} (x) + 4 y = x^{- 1} e^{2 x}

Solve linear ODE:

y = c_{1} e^{2 x} + c_{2} x e^{2 x} - e^{2 x} x + e^{2 x} x ln (x)

y = c_{1} e^{2 x} + c_{2} x e^{2 x} - e^{2 x} x + e^{2 x} x ln (x)

Graph

Beliebte Beispiele

16y^{''}-24y^'+9y=5-3x

16 y^{^{''}} - 24 y^{^{'}} + 9 y = 5 - 3 x

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

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

y^{''}+4y^'+40y=50sin(6t)

y^{^{''}} + 4 y^{^{'}} + 40 y = 50 sin (6 t)

y^{''}-4y+3y=2x+1

y^{^{''}} - 4 y + 3 y = 2 x + 1

y^{''}+4y=sin(3t),y(0)=0,y^'(0)=0

y^{^{''}} + 4 y = sin (3 t), y (0) = 0, y^{^{'}} (0) = 0