MAP 2302 Midterm: MAP 2302 FIU de Test 1 a
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General directions: read each problem carefully and do exactly what is requested. Full credit will be awarded only if you show all your work neatly, and it is correct. correctly. Since the answer really consists of all the magic transformations, do not box your final result. Solve each of the following differential equations or initial value problems. obtain the general solution. Show me all the magic on the page. Use complete sentences and use notation (a) dy dx. The ode of problem (a) is linear as written with an obvious integrating factor of = x-2 for x > 0. , integrating, and then dealing with the initial condition allows you to produce x-2y = x3 + 7, an implicit solution. obvious explicit solution is y(x) = x5 + 7x2, defined for x > 0. This varmint is plainly exact. solutions is given by x2y + x + 2y2 = c, where c is an arbitrary constant.