1.

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

Answer»


Answer :(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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