Question: (a) Solve the two initial-value problems: Dy/dx = y, y(0) = 1 and dy/dx = y + y/x ln x, y(e) = 1. (b) Show

(a) Solve the two initial-value problems:

Dy/dx = y, y(0) = 1

and

dy/dx = y + y/x ln x, y(e) = 1.

(b) Show that there are more than 1.65 million digits in the y-coordinate of the point of intersection of the two solution curves in part (a).

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