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Consider the differential equation y' = x − y + 1: (a) Verify that y =...

Consider the differential equation y' = x − y + 1:

(a) Verify that y = x + e^(1−x) is a solution to the above differential equation satisfying y(1) = 2;

(b) Is the solution through (1, 2) unique? Justify your answer in a few sentences;

(c) Is this differential equation separable? Find the general solution of y' = x − y + 1.

Math   Calculus   
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