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OpenStudy (anonymous):
Can someone please help me and go through the steps to solve this DE? dy/dt=20.4-0.0139y
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OpenStudy (anonymous):
taking derivative of this?
OpenStudy (anonymous):
Are you familiar with the separation of variables method?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
You can apply that here.
OpenStudy (anonymous):
Divide both sides by dy and take the reciprocal of both sides.
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OpenStudy (anonymous):
can i multiply by dt then divide dy by (20.4-0.0139y)?
OpenStudy (anonymous):
Yes exact same outcome.
OpenStudy (anonymous):
make 20.4 - 0.139 as u, find du , then put it outside the integral and solve for both sides. I'm assuming you're integrating?
OpenStudy (anonymous):
You should now have:|dw:1406076869861:dw|
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