Solution Of First Order Equations Worksheets With Answers - S. Ghorai Page 5
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Example 8. (2x
y + y)dx + xdy = 0
Obviously, we can write this as
2
2
2x
ydx + (ydx + xdy) = 0
2x
ydx + d(xy) = 0
Now if we divide this by xy, then the last term remains differential and the first term
also becomes differential:
d(xy)
2
2
2xdx +
= 0
d x
+ ln(xy) = 0
x
+ ln(xy) = C
xy
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