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=Problem 3= Report problem 2.3 from lecture notes section 7-6.

Find
Show that ($$) is linear with respect to $$y'$$.

Solution
For a function to be linear, the following must be true.

Therefore, if we substitute $$y' = \alpha u + \beta v$$

$$M(x,y) + N(x,y)(\alpha u+\beta v) = 0$$