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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-5y^'+6y=12x-4

y^{^{''}} - 5 y^{^{'}} + 6 y = 12 x - 4

y^{''}-2y^'-3y=12e^{3x}

y^{^{''}} - 2 y^{^{'}} - 3 y = 12 e^{3 x}

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

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

y^{''}+40y^'+625y=100cos(10t)

y^{^{''}} + 40 y^{^{'}} + 625 y = 100 cos (10 t)

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

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