Verify that the indicated expression is an implicit solution of the given first order differential equation Find at least one explicit solution y (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 1 2 2xy dx (x 2 y) dy 0 2x 2 y y 2 1 (2X 1' d dt (X 1)(1 2X) In X 1,

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

Verify that the indicated expression is an implicit solution of the given first-order differential equation. Find at least one explicit solution y Î¦ (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 Î¦.

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

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

(2X 1' d dt = (X 1)(1 2X); In X 1,

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