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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+4y^'+6y=1^{-t}

y^{^{''}} + 4 y^{^{'}} + 6 y = 1^{- t}

y^{''}+y=t-pi/2 ,y(pi/2)=0,y^'(pi/2)=1

y^{^{''}} + y = t - \frac{π}{2}, y (\frac{π}{2}) = 0, y^{^{'}} (\frac{π}{2}) = 1

y^{''}-y^'-2y=(x+1)e^{-x}

y^{^{''}} - y^{^{'}} - 2 y = (x + 1) e^{- x}

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

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

y^{''}+6y^'+9y=(e^{-3x})/((x^2+1))

y^{^{''}} + 6 y^{^{'}} + 9 y = \frac{e ^{- 3 x}}{( x ^{2} + 1 )}