MHB -Identify the equilibrium values y'=5\sqrt{5},y>0

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The discussion centers on the differential equation y' = 5√5, where y > 0. It is noted that there are no equilibrium solutions since y' is a constant, indicating that the function does not stabilize at any point. Participants express confusion about the questions regarding stability and phase lines, with one user deciding to skip the problem. The conversation highlights a lack of clarity in understanding equilibrium values in the context of this specific ordinary differential equation. Overall, the thread reflects uncertainty about the application of concepts related to equilibrium in differential equations.
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$\textrm{ Given $y'=5\sqrt{5},y>0$ answer the following questions.}\\$
$\textrm{a. Identify the equilibrium values.}\\ $
$\textrm{Which are stable and which are unstable?}\\$
$\textrm{b. Construct a phase line. Identify the signs of $y′$ and $y′′$.}\\$
$\textrm{c. Sketch several solution curves.}\\$
ok just posting this now
have deal with it at school
basically clueless
 
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karush said:
$\textrm{ Given $y'=5\sqrt{5},y>0$ answer the following questions.}\\$
$\textrm{a. Identify the equilibrium values.}\\ $
$\textrm{Which are stable and which are unstable?}\\$
$\textrm{b. Construct a phase line. Identify the signs of $y′$ and $y′′$.}\\$
$\textrm{c. Sketch several solution curves.}\\$
ok just posting this now
have deal with it at school
basically clueless

Are you sure you copied the question correctly? In the given ODE, there are no equilibrium solutions, since $y'$ is a constant...(Wondering)
 
ok sorry, I will just skip this one for now..

I had to go on to another topic anyway.;););)
 

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