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Verify that the indicated expression is an implicit solution of the given differential equation. 1 ( x ) ² + 1 = 2/12/² (dy 2 (x-6)² + y² = 1 dx Using implicit differentiation, (x-6)² + y² = 1 dy +2y- = 0 dx (dy)² = Since (x - 6)² = 1 - y², we have that (ax)² + dy 2 1 + 1 = = 7/2²

Verify that the indicated expression is an implicit solution of the given differential equation. 1 ( x ) ² + 1 = 2/12/² (dy 2 (x-6)² + y² = 1 dx Using implicit differentiation, (x-6)² + y² = 1 dy +2y- = 0 dx (dy)² = Since (x - 6)² = 1 - y², we have that (ax)² + dy 2 1 + 1 = = 7/2²

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Verify that the indicated expression is an implicit solution of the given differential equation. (dx)² + 1 = ²₁ (x − 6)² + y² = 1 + 1 = Using implicit differentiation, (x-6)² + y² = 1 dy +2y- = 0 dx dy dx = Since (x - 6)² = 1-², we have that : (dx) ². + 1 = 1 2
Transcribed Image Text:Verify that the indicated expression is an implicit solution of the given differential equation. (dx)² + 1 = ²₁ (x − 6)² + y² = 1 + 1 = Using implicit differentiation, (x-6)² + y² = 1 dy +2y- = 0 dx dy dx = Since (x - 6)² = 1-², we have that : (dx) ². + 1 = 1 2
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