Solving impossible problem? X^2y + Y^2x = 6

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Homework Help Overview

The problem involves the equation (X^2)y + (Y^2)x = 6, with a focus on finding the second derivative at the point (1,3). Participants express confusion regarding the validity of the point in relation to the equation.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the validity of the point (1,3) in the context of the equation, with some questioning whether the problem is stated correctly. There are attempts to calculate values and explore the implications of the equation.

Discussion Status

The discussion reveals uncertainty about the problem's setup, with multiple participants noting that (1,3) does not satisfy the equation. Some guidance is offered regarding the need to clarify the question, but no consensus is reached on how to proceed with the problem.

Contextual Notes

Participants highlight that the original equation may be misinterpreted or incorrectly stated, leading to confusion about the point of interest and the overall problem validity.

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Homework Statement



is( X^2 )y + (Y^2)x = 6, then the second derivative at the point (1,3) is ?

Homework Equations





The Attempt at a Solution



I don't see how this is possible, when I plug in 1 and 3 it comes out as 9 = 6 which isn't true. Can someone tell me if this is wrong? or if the problem is written badly?
 
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fair point, but i get 12

( X^2 )y + (Y^2)x = (1)3 = (3^2)1 = 12
are you maybe missing a factor of 2?
 
you're right its 12 but how can I solve the problem?
 
I'm said:
you're right its 12 but how can I solve the problem?

Have you tried solving for the second derivative first?
 
well as you point out, (1,3) is not a point on the curve defined by
(x^2)y + (y^2)x = 6, so you can't really

can you write the exact question?
 
Thats the equation I was given.
 
it may help if you write the whole question verbatim

but as already said, (1,3) is not a point on the curve defined by (x^2)y + (y^2)x = 6, so the question does not make sense - it is undefined
 

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