(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

This is a solution detailed in a past paper,

http://stuff.bsodmike.com/sensors_pastpaper.png [Broken]

2. Relevant equations

Utilise an integrating factor to solve as detailed by myself https://www.physicsforums.com/showthread.php?t=283610".

3. The attempt at a solution

It can be said that,

[tex]\dfrac{d\theta}{dt}+\dfrac{\theta}{\beta}=\dfrac{\theta_m}{\beta}[/tex]

Hence, the solution by employing an integrating factor would yield,

[tex]e^{t/\beta}\theta=\dfrac{\theta_m}{\beta}\int{e^{t/\beta}\,dt}[/tex]

[tex]\theta=\dfrac{\theta_m}{\beta}+Ce^{-t/\beta}[/tex]

The problem is that I'm having the extra 'beta' term as shown above. Any ideas?

Thanks!

Mike

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# Homework Help: ODE Solution Query

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