Given the following differential equation: (y³+ kxy4 - 2x)dx + (3xy² + 20x² y³ - ky)dy = 0 a) Solve for the value of k so that the differential equation above will be exact. b) By substituting the value of k from your result in part (a) to the given DE, solve for its general solution. Express your answer in implicit form, i.e., f(x, y) = c c) Using the result in part (b), find c when x = 1 and y = 1.

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