Nonhomogeneous 2nd order dif equation

  • Thread starter darjiaus7
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  • #1
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Hello guys . I want to do nonhomogeneous 2nd order dif equation..I am trying to do this for 2 days , but I can't get good answer. Can you show me how to do this equation with constant variation method ( i know it best) or other I would be very gratefull , because after 2 days of trying I am surrendered... [itex]xy''-2y' = -\frac{2}{x^2} ; y(1)=-\frac{1}{3} ; y'(1)=1[/itex]
 

Answers and Replies

  • #2
pasmith
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Hello guys . I want to do nonhomogeneous 2nd order dif equation..I am trying to do this for 2 days , but I can't get good answer. Can you show me how to do this equation with constant variation method ( i know it best) or other I would be very gratefull , because after 2 days of trying I am surrendered... [itex]xy''-2y' = -\frac{2}{x^2} ; y(1)=-\frac{1}{3} ; y'(1)=1[/itex]
This is a first-order ODE for [itex]u = y'[/itex]: [tex]
u' -\frac{2}{x}u = -\frac{2}{x^3}.[/tex] It has an integrating factor.
 
  • #3
lurflurf
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change variables
##\mathrm{u}(x)=x^{-2} \mathrm{y}^\prime (x)##
 

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