How to Relate r(t)=x^2(t)+y^2(t) to r'=r-r^3 in Differential Equations?

AI Thread Summary
The discussion focuses on understanding the relationship between the equations r(t) = x^2(t) + y^2(t) and r' = r - r^3 in the context of differential equations. The user expresses confusion about how to derive the second equation from the first. Clarification is sought on how to utilize r(t) to arrive at r' = r - r^3. The need for a detailed explanation of the connection between these equations is emphasized. Overall, the thread highlights a common challenge in linking mathematical representations in differential equations.
splelvis
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Homework Statement


i had solve the C1 question,
But in c2,
i am not sure what is the relationship between r(t)=x^2(t)+y^2(t) and the r'=r-r^3.
not get the meaning of that question,
how to use the r(t)=x^2(t)+y^2(t) to get the r'=r-r^3?
can anyone explain to me? thanks!
 

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can anyone help?
 

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