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Beliebt Rechnen >

y^{''}+2y^'+y=2x^2+4x+2

Lösung

y^{^{''}} + 2 y^{^{'}} + y = 2 x^{2} + 4 x + 2

Lösung

y = c_{1} e^{- x} + c_{2} x e^{- x} + 2 x^{2} - 4 x + 6

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{- x} + c_{2} x e^{- x} + 2 x^{2} - 4 x + 6

y = c_{1} e^{- x} + c_{2} x e^{- x} + 2 x^{2} - 4 x + 6

Graph

Beliebte Beispiele

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

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

y^{''}-8y^'+16y=t^{-5}e^{4t}

y^{^{''}} - 8 y^{^{'}} + 16 y = t^{- 5} e^{4 t}

x^{''}+7x^'+12x=e^{2t}+cos(4t)

x^{^{''}} + 7 x^{^{'}} + 12 x = e^{2 t} + cos (4 t)

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

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

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

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