Question: Please help! In this problem we outline a derivation of Euler's formula. (a) Show that y1(t) = cos t and y2(t) = sin t are

Please help!

In this problem we outline a derivation of Euler's formula. (a) Show that y1(t) = cos t and y2(t) = sin t are a fundamental set of solutions of y\" + y = 0; that is, show that they are solutions and that their Wronskian is not zero. (b) Show that y = e\" is also a solution of y\" | y = 0. Therefore, 6\" = (:1 cost + C2 sint. (1) (You may use the derivative formula proved during lecture.) for some constants c1 and C22. Why is this so? (c) Sett = 0 in Eq. (1) to show that 01 = 1. (d) Differentiate Eq. (1) and then set 1; = 0 to conclude that (:2 = 2'. Use the values of (:1 and (:2 in Eq. (1) to arrive at Euler's formula

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