4(a) Verify that the equation y = In x – In y is an implicit solution of the IVP, ydx = x(y + 1)dy y(e) = 1 (b) Consider the IVP, test whether it is exact and solve it. x(x – y)dy = -(3xy – y?)dx...

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Extracted text: 4(a) Verify that the equation y = In x – In y is an implicit solution of the IVP, ydx = x(y + 1)dy y(e) = 1 (b) Consider the IVP, test whether it is exact and solve it. x(x – y)dy = -(3xy – y?)dx y(-1) = 1 (c) Determine the degree of the following homogeneous function (i) f(x, y) = 4x2 + 2y+, (ii) f(x, y) = v5x6 – 3y6 + 4x²y+, -