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Solve the following differential equations (i) (1+y^(2))dx = (tan^(-1)y - x)dy (ii) (x+2y^(3))(dy)/(dx) = y (x-(1)/(y))(dy)/(dx) + y^(2) = 0 (iv) (dy)/(dx)(x^(2)y^(3)+xy) = 1

Answer»


Answer :(i) `x E^(tan^(-1)y) = e^(tan^(-1)y)(tan^(-1)y-1)+c`
(II) `x = y(y^(2) + c)`
(III) `xy = 1+ y + CY e^((1)/(y))`
(IV) `1+x(y^(2) - 2+ce^(-y^(2)//2)) = 0`


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