RandomIBKidSG Posted April 11, 2015 Report Share Posted April 11, 2015 dy/dx = (4x-y) / (2x+y) We are supposed to find the general solution by subbing y=vx, but I can't seem to get the right answer. Your help is much appreciated Reply Link to post Share on other sites More sharing options...
SYL Posted April 12, 2015 Report Share Posted April 12, 2015 By setting y = vx, we can also derive dy/dx = v + xdv/dx. For the original equation, by dividing every term on both the top and bottom by x will allow us to substitute v = y/x hence obtaining dy/dx = (4-v)/(2+v)Equating the two together, v + xdv/dx = (4-v)/(2+v) then separate the variables should lead you to -∫(1/x) dx = ∫ (v+2)/(v^2 +3v-4) dv Reply Link to post Share on other sites More sharing options...
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