A. In each of Problems 1 through 3, verify that each given function is a solution of the differential equation. 1. Verify y = x is a solution to the differential equation dy = xyz. dx 2. Verify y = 4 cos(2x) + 6 sin(2x) is a solution to y" = -4y. 3. Isy = e-* + 2xe * a solution to y" + 2y' + y = 0. B. In each of Problems 4 and 5, eliminate the arbitrary constant using the method you're comfortable with 4. y = Ae-3x + Be2x 5. y = Ce Arcsin x