- #1
bsodmike
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Homework Statement
This is a solution detailed in a past paper,
http://stuff.bsodmike.com/sensors_pastpaper.png
Homework Equations
Utilise an integrating factor to solve as detailed by myself https://www.physicsforums.com/showthread.php?t=283610".
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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