The equation is:  x3 + 3xy + y3 = 1 1) Find a x such that the equation only has one solution for y. 2) Does there exist x such that the equation has more than one solutions for y?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The equation is:  x3 + 3xy + y3 = 1

1) Find a x such that the equation only has one solution for y.

2) Does there exist x such that the equation has more than one solutions for y?

 

 

Expert Solution
Step 1: Given.

Given: x3+3xy+y3=1

To find: 1) The value of x for which the given equation has only one solution for y.

2) Does there exist x such that the equation has more than one solution for y?

 

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