Problem 1 Suppose that y1, y2 are solutions to a homogeneous second-order linear differential equation. Which of the following pairs of y₁ and y2 are linearly independent: (a) y₁ = 9 - 6x, y2 = 10x - 15 ☐ 1 (b) y₁=-4sin3x, y2 = 5 cos 3.x (c) y₁= 3e4r Y2 = e-2x 1 (d) y₁=2 sin² x, y2 = -1 + cos² a E Check the box(es) with linearly independent functions. Explain you answers.

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