## Question

###### (10 points)a. Assuming a,b and k are constants; calculate the following derivative_ ake^(kt) #([:] - = bke^(kt)b. Find a value of k so thatis a solution to &# 5 k =Find a value of k so thatis a solution to #&d. Write down the general solution in the form â‚¬1(t) =? and x2(t) =?, i.e-, write down a formula for each component of the solution: Use A and B to denote arbitrary constants. 81(t) E2(t)

(10 points) a. Assuming a,b and k are constants; calculate the following derivative_ ake^(kt) #([:] - = bke^(kt) b. Find a value of k so that is a solution to & # 5 k = Find a value of k so that is a solution to # & d. Write down the general solution in the form â‚¬1(t) =? and x2(t) =?, i.e-, write down a formula for each component of the solution: Use A and B to denote arbitrary constants. 81(t) E2(t)

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