Find a particular solution of the differential equation  (x – y) (dx + dy) = dx – dy,
given that y = –1, when x = 0 (Hint: put x – y = t)
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DIFFERENTIAL EQUATIONS
421
12 Solve the differential equation 
2
1(
0)
x
e
y
dx
x
dy
x
x
⎡−
⎤
−
=
≠
⎢
⎥
⎣
⎦ 13