i have done upto this ,solve after this. i am not getting the ans
9 Answers
Manish Shankar
·2009-10-03 00:22:02
it is xdy-ydx=y2dy
(xdy-ydx)/y2=dy
d(-x/y)=dy
now you can complete it
UTTARA
·2009-10-03 23:33:58
x = y2t
Differentiating wrt x on both sides
1 = 2y dy/dx t + y2dt/dx
=>1 - dy/dx 2yt = y2 dt/dx
=>dy/dx = [ 1-y2dt/dx ]/2yt
So , 1 - y2dt/dx = 2y2t/y2(1-t)
=> integ [ 1-t/t(1-3t) ] dt = integ [ 1/x] dx
=>2 ln (1-3t) + ln t = ln x + c
=> ln (1-3t)2t = lnx + c
Lokesh Verma
·2009-10-04 23:31:03
Uttara.. i think there is a slight calculation mistake.. try to see that nicely :)
Lokesh Verma
·2009-10-04 23:51:34
I still think there is a mistake in
So , 1 - y2dt/dx = 2y2t/y2(1-t) step... I could not understand taht!