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1. Determine whether the given function is a solution of the differential equation. (ii) Determine the region in the xy-plane for which the ODE would have a unique solution through a point (xa ) 12(6+6) 24pts 2(6+7)-26ptsl 2. (i) Verify that the function is a solution of the given differential equation. (ii) Find the solution of the given IVP from the indicated family of solutions. (a) y--y2=0; y=sin(x +C) Kii) y(0) (b) x2y, + 5xy + 4y = 0; y = 으,2ìnx Kii) y( 1) = 2, y(1)--1
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