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प्रश्न
The general solution of the differential equation x(1 + y2)dx + y(1 + x2)dy = 0 is (1 + x2)(1 + y2) = k.
पर्याय
True
False
उत्तर
This statement is True.
Explanation:
Because given equation can be written as `(2x)/(1 + x^2) "d"x = (-2y)/(1 + y^2) "d"y`
⇒ log(1 + x2) = – log(1 + y2) + log k
⇒ (1 + x2)(1 + y2) = k
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