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Solve the following differential equatio...

Solve the following differential equations
(i) `(1+x^(2)) (dy)/(dx) + y = e^(tan^(-1))x`
(ii) `(1+x^(2))(dy)/(dx) + y = tan^(-1)x`

Text Solution

Verified by Experts

The correct Answer is:
(i) `2y e^(Tan^(-1)x) = e^(2Tan^(-1)x) + c`
(ii) `y = Tan^(-1)x - 1 + c e^(-Tan^(-1)x)`
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