Find all values of k for which the function y=sin(kt) satisfies the differential equation y ′′
+8y=0. Separate your answers by commas. Consider the differential equation y ′′
−(2α−1)y ′
+α(α−1)y=0 (a) Determine the values of α for which all solutions tend to zero as t→[infinity]. Interval: (b) Determine the values of α for which all (nonzero) solutions become unbounded as t→[infinity]. Interval: