Find the complete integral of p2+x2y2q2=x2z2
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z= (a + x)² + (y-a) /½. (y-ay½ +6.
Step-by-step explanation:
p² + q² = 2² (x + y) — ci
= ( 32 ) + ( 2 · 33 )² = x + y — (ii)
put d² = 2 so that 2 = log zdz
then;
1 J2 = = P(say)
and 22 ½ 3y = Q(say) Z ay sy
Substituting these value in (ii), p² + Q² = x+y p² -x = y-a² = a (say)
i.e, p= √a+z
Now,
dz = Pdx+ Qdy
dz = √a+x dx + √y-a dy
on Integrate;
z= (a + x)² + (y-a) /½. (y-ay½ +6
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