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Express the following differential equat...

Express the following differential equations in the form f(x)dx+g(y)dy = 0
(i) `(dy)/(dx) = (2y)/(x)` (ii) `x+y(dy)/(dx) = 0`
(iii) `(dy)/(dx) = e^(x-y) + x^(2).e^(-y)`
(iv) `(dy)/(dx) + x^(2) = x^(2)e^(3y)`

Text Solution

Verified by Experts

The correct Answer is:
(i) `(dx)/(x) - (dy)/(2) = 0` (ii) x dx + y dy = 0
(iii) `(x^(2) + e^(x))dx - e^(y) dy = 0`
(iv) `x^(2)dx - ((1)/(e^(3y) - 1))dy = 0`
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