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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{x} + c_{2} x e^{x} + x^{3} + 6 x^{2} + 22 x + 32

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{x} + c_{2} x e^{x} + x^{3} + 6 x^{2} + 22 x + 32

y = c_{1} e^{x} + c_{2} x e^{x} + x^{3} + 6 x^{2} + 22 x + 32

Graph

Beliebte Beispiele

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

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

-1/9 y^{''}+2/3 y^'-y= t/(t+1)

- \frac{1}{9} y^{^{''}} + \frac{2}{3} y^{^{'}} - y = \frac{t}{t + 1}

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

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

y^{''}+6y^'+9y=te^{-3t}

y^{^{''}} + 6 y^{^{'}} + 9 y = t e^{- 3 t}

y^{''}+y=2+t,y(0)=1,y^'(0)=3

y^{^{''}} + y = 2 + t, y (0) = 1, y^{^{'}} (0) = 3