Let the linear differential operator L be defined by L[y] = a0 y(n) + a1 y(n1) + +an y
Chapter 4, Problem 14(choose chapter or problem)
Let the linear differential operator L be defined by L[y] = a0 y(n) + a1 y(n1) + +an y, where a0, a1, . . . , an are real constants. a. Find L[tn]. b. Find L[ert ]. c. Determine four solutions of the equation y(4)5y__+4y = 0. Do you think the four solutions form a fundamental set of solutions? Why?
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