Question: (x + xy? ) dx + ex y dy = 0. (6 marks) b) Consider the differential equation (2xy' + 1)dx + (3x2y2 - y-1)dy

(x + xy? ) dx + ex y dy = 0. (6 marks) b) Consider the differential equation (2xy' + 1)dx + (3x2y2 - y-1)dy = 0. Verify that this equation is exact. (3 marks) c) Solve the equation from Q 1b subject to the initial condition y (1) = 1. (6 marks)

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