21: 1. Verify y = 36 satisfies y' + 2y = 0. 2. Verify that both yl = (231' and yg = (2'31' satisfy y" = 9y. 1 1 + 2 satisfies y' + 2:L'y2 = () m 3. Verify that y = 4. Find all possible values of 'r such that y = er" satisfies 4y" = y.5. Verify that y = C'c"c - 1 satisfies y' = y + 1. Sketch some typical curves for various values of C. Then determine a value of C such that y(0) = 5, and sketch that specific curve on your plot. 6. Verify that y = ln(:1: + C) satisfies y' = e'y. Sketch some typical curves for various values of 0. Then determine a value of C such that y(0) = 0, and sketch that specific curve on your plot.2 dy ' d., = (:I: - 2)2 and = 13 fi = 3,/:vy 4. = y - sin(a:) 5. = 2x sec(y)