Determine whether a conclusion can be drawn about the existence of uniqueness of a solution of the differential equation

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Determine Whether A Conclusion Can Be Drawn About The Existence Of Uniqueness Of A Solution Of The Differential Equation 1 (47.75 KiB) Viewed 25 times

Determine whether a conclusion can be drawn about the existence of uniqueness of a solution of the differential equation (9-t)y" +7ty' - 3y = sint, given that y(0) = 9 and y'(0)=9. If a conclusion can be drawn, discuss it. If a conclusion cannot be drawn, explain why Select the correct choice below and fill in any answer boxes to complete your choice OA. No conclusion can be drawn because the functions p(t) = q(t)= and g(t) = are not simultaneously continuous on any interval that contains the point to = OB. A solution is guaranteed only at the point to = because the functions p(t) = q(t)= and g(t) = are simultaneously defined at that point. OC. No conclusion can be drawn because the conditions y(0) = 9 and y'(0) = 9 do not provide enough information to determine all constants of integration. OD. A solution is guaranteed on the interval <t< because it contains the point to q(t)=, and g(t)= are simultaneously continuous on the interval p(t)= and the functions