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Beliebt Rechnen >

y^{''}+2y^'+y=x^2-5

Lösung

y^{^{''}} + 2 y^{^{'}} + y = x^{2} - 5

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

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

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

y^{''}-25y=cosh(5x)

y^{^{''}} - 25 y = cosh (5 x)

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

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

3y^{''}+27y=2cos(3t)

3 y^{^{''}} + 27 y = 2 cos (3 t)

y^{''}+16y=32t^2-48t+100,y(0)=0,y^'(0)=1

y^{^{''}} + 16 y = 32 t^{2} - 48 t + 100, y (0) = 0, y^{^{'}} (0) = 1