Consider the family of curves given by 4x² - 7y² = = C. (a) Use implicit differentiation to express y' in terms of x and y, i.e., write it in the form y' = f(x, y). y' y' = (b) Write the differential equation for the orthogonal trajectories in the form y' = f(x, y). Y P 4x 7y (c) Find the orthogonal trajectory through the point ( – 2, — 1). = 7y 4x 1 When you find the antiderivative of , don't forget X the absolute value in Inlæl.

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