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Solve the following differential equatio...

Solve the following differential equations.
(i) Solve `sqrt(1-x^(2)) dy + sqrt(1-y^(2))dx = 0`
(ii) Solve `x+y (dy)/(dx) = 0`
(iii) Solve `(dy)/(dx) = (2y)/(x)`
(iv) Solve `(dy)/(dx) + x^(2) = x^(2)e^(3y)`

Text Solution

Verified by Experts

The correct Answer is:
(i) `sin^(-1)x + sin^(-1) y = c` (ii) `x^(2) + y^(2) = c`
(iii) `y = cx^(2)` (iv) `1-e^(-3y) = c e^(x^(3))`
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