Assuming a, b and k are constants, calculate the following derivative. (1) d ekt help (formulas) help (matrices) %D dt 7 2 Find a value of k so that ekt is a solution to x' х. -4 k = help (numbers) 7 Find a value of k so that ek is a solution to x x. k = help (numbers) Write down the general solution in the form x1(t) =? and x2(t) =?, i.e., write down a formula for each component of the solution. Use A and B to denote arbitrary constants. The A should go with the first k you found above, and the B should go with the second k you found above. X1(t) = help (formulas) x2(t) = help (formulas)

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