Verify that the indicated expression is an implicit solution of the given first-order differential equation. Find at least one explicit solution y Φ (x) in each case.

Use a graphing utility to obtain the graph of an explicit solution. Give an interval I of definition of each solution Φ.

1.

 

2. 2xy dx + (x² - y) dy = 0; -2x²y + y² = 1

Transcribed Image Text:

(2X – 1' dх dt = (X – 1)(1 – 2X); In X 1,