How can this equation be solved? \frac{dx}{dt}=ax(b-x)
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May 18, 2010 #2 Cyosis Homework Helper 1,495 0 By separation of variables. [tex] \frac{dx}{ax(b-x)}=dt [/tex] Now you can integrate both sides.
May 19, 2010 #3 Unit 181 0 The integral of the dx side requires decomposition into partial fractions.
May 19, 2010 #4 Acut 226 0 Many thanks! I'm a bit rusty in solving ODE's and was having a hard time trying to solve this one..
May 22, 2010 #5 IPhO' 2008 44 0 dx/(ax(b-x)) = dx/abx + dx/ab(b-x) = dx/abx - d(b-x)/ab(b-x) and then you can integrate these terms.