I know that the answer is II but explain how you got to that answer. Without sol

Question

I know that the answer is II but explain how you got to that answer.

Without solving the differential equation, for which of the following is a unique solution guaranteed for at least some finite interval? Just write I, II, III, or IV -there could be none or more than one correct answer. List all that apply - don't show any work. I) xy" + 2xy' + y = e^x subject to y(0) = 1, y'(0) = 10 II) (x - 1)^2 y"+ y' - 3xy = sin x subject to y(0) = 1, y'(0) = 6 III) y" + 3y' + 4y = 0 subject to y(0) = 1, y'(1) = 2 IV) 3y" + 10x^2 y = x subject to y(2) = 0, y(4) = 0

Explanation / Answer

1 and 3 has unique solution and second question is there is no (x-1) coefficent of y' and fourth question is alinear differentia equation of second order..

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