a. Assuming a, b and k are constants, calculate the following derivative. d a ([8] c*) = | 7 2 b. Find a value of k so that ekt is a solution to a = -4 1 k = 7 c. Find a value of k so that ekt is a solution to ' = 2] -2 4 k = d. Write down the general solution in the form ₁ (t) = ? and ₂(t) =?, i.e., write down a formula for each component of the solution. Use A and B to denote arbitrary constants. x₁ (t) = x₂ (t) = [4] x. č.
