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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 |
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Answer» (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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