Quiz 7 Solution 1. Solve each differential equation. Write your solution yexplicitly as a function of x. (a) 21;(1)dyyydxx+==1Separation of variables leads to 22111tanlndydxyxdydxyxyxC−=+=+=+∫∫Requiring leads to (1)1y=4Cπ=, so the equation becomes 1tanln4−. Solving for yyields tan ln4⎛⎞⎜⎟⎝⎠. (b) 2xdyxyedx−+=The linear form of this equation is
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