Mathematics, 23.09.2020 16:01 jdodger910

Verify that the indicated expression is an implicit solution of the given differential equation. (dy/dx)2 + 1 = 1/y2 ; (x − 7)2 + y2 = 1
Using implicit differentiation,
(x − 7)2 + y2 = 1
+ 2y dy dx = 0
(dy/dx)2 =
Since (x − 7)2 = 1 − y2, we have that (dy/dx)2 + 1 = 1/y2 .

Answers: 2

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Verify that the indicated expression is an implicit solution of the given differential equation. (d...