Suppose the given differential equation is solvable for x. Then it can
be put in the form
x=f (y, p) (4.11)
Differentiating (4.11) w.r.t. y and writing
1
p
for
dx
dy
we get
1
,,
dp
yp
pdy
⎛⎞
=φ
⎜⎟
⎝⎠
(4.12)
which is a differential equation in two variables y and p. Suppose it is
possible to solve the differential equation (4.12). Let its solution be
f (y, p, c) = 0 (4.13)
where c is the arbitrary ...
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