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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

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

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

y^{''}-3y=-48x^2e^{3x}

y^{^{''}} - 3 y = - 48 x^{2} e^{3 x}

y^{''}+16y=3cos(4t)

y^{^{''}} + 16 y = 3 cos (4 t)

y^{''}-4y^'+5y=cos^2(x)

y^{^{''}} - 4 y^{^{'}} + 5 y = cos^{2} (x)

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

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