Consider the equation in two variables (E) ry + x*y = -2 Find a smooth functionf and a level c such that the solutions C of (E) are given by the level set of f at level c. Find all solutions of (E) at which f is not regular. Find a solution a of (E) and explain why C has a tangent line at a. Then find a point normal equation of that tangent line.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the equation in two variables
(E)
xy* + a*y = -2
* Find a smooth function f and a level c such that the solutions C of (E) are given by the
level set of f at level c.
Find all solutions of (E) at which f is not regular.
Find a solution a of (E) and explain why C has a tangent line at a. - Then find a point
normal equation of that tangent line.
Transcribed Image Text:Consider the equation in two variables (E) xy* + a*y = -2 * Find a smooth function f and a level c such that the solutions C of (E) are given by the level set of f at level c. Find all solutions of (E) at which f is not regular. Find a solution a of (E) and explain why C has a tangent line at a. - Then find a point normal equation of that tangent line.
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