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प्रश्न
The general solution of the differential equation `"dy"/"dx" + y/x` = 1 is ______.
उत्तर
The general solution of the differential equation `"dy"/"dx" + y/x` = 1 is `x^2/2 + "C"`.
Explanation:
xy = `x^2/2 + "c"`
I.F. = `"e"^(int 1/x "d"x)`
= elogx
= x and the solution is y.
x = `int x * 1 "d"x = x^2/2 + "C"`
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