Question: 2. Consider the differential equation: 33: 4y 20y = i] a. [5 pts] Verify that, for any constants A and B, the following family of

 2. Consider the differential equation: 33:" 4y" 20y = i] a.

[5 pts] Verify that, for any constants A and B, the following

2. Consider the differential equation: 33:" 4y" 20y = i] a. [5 pts] Verify that, for any constants A and B, the following family of functions are solutions to the above differential equation: 3" = AeZI + HEIDI}? b. [5 pts] Find the values A and B that make the above general solution into a solution for the following initial value problem: By" 4y" 20y = ; y() = 5,y'() = 6 (Note: I am expecting you to use only the knowledge from CillL'lJlLlh II in this problem.)

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