Record your answers on the right of this cover page by marking the box correspond- ing to the correct answer: free response questions: Show all your work on the page of the prob- lem. Clearly indicate your answer and the reasoning used to ar- rive at that answer. Unsupported answers for the free response questions may not receive credit! Hint: recall that the general solution of the rst-order linear di erential equation y + a(x)y = b(x) is y(x) = (x) (cid:20)z (x)b(x) dx + c(cid:21), where (x) = er a(x) dx and c is a constant. Record the correct answer to the following problems on the front page of this exam: which of the following options is true for the di erential equation x y = (y 1)3 (cid:16)1 y. B. y = 1 and y = 5 are solutions. C. y = 1 is a solution, but y = 5 is not a solution.
