Question: D Question 1 10 pts A. For how many distinct values of k does the function y = cos kt satisfy the differential equation 4y

D Question 1 10 pts A. For how many distinct values of k does the function y = cos kt satisfy the differential equation 4y" = -25y? B. What is the largest such value of

k? If your answer is not a whole number, enter it as

a decimal.D Question 2 10 pts The Fitzhugh-Nagumo model for the electrical

D Question 1 10 pts A. For how many distinct values of k does the function y = cos kt satisfy the differential equation 4y" = -25y? B. What is the largest such value of k? If your answer is not a whole number, enter it as a decimal.D Question 2 10 pts The Fitzhugh-Nagumo model for the electrical impulse in a neuron states that, in the absence of relaxation effects, the electrical potential in a neuron v(t) obeys the differential equation du dt = -v(v2 - (1 + a)v + a) where a is a positive constant such that 0

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