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Mathematics
Problem
9. Find a particular solution of the differential equation `
(
x
−
y
)
(
d
x
+
d
y
)
=
d
x
−
d
y
‘
,
g
i
v
e
n
t
h
a
t
‘
(x-y)(d x+d y)=d x-d y`, given that `
(
x
−
y
)
(
d
x
+
d
y
)
=
d
x
−
d
y
‘
,
g
i
v
e
n
t
ha
t
‘
y=-1
‘
,
w
h
e
n
‘
`, when `
‘
,
w
h
e
n
‘
x=0
‘
.
(
H
i
n
t
:
p
u
t
‘
`. (Hint: put `
‘.
(
H
in
t
:
p
u
t
‘
x-y=t$` )
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