Solution of ODE

  • Thread starter Acut
  • Start date
226
0
How can this equation be solved?

[tex]\frac{dx}{dt}[/tex]=ax(b-x)
 

Cyosis

Homework Helper
1,495
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By separation of variables.

[tex]
\frac{dx}{ax(b-x)}=dt
[/tex]

Now you can integrate both sides.
 
181
0
The integral of the dx side requires decomposition into partial fractions.
 
226
0
Many thanks!
I'm a bit rusty in solving ODE's and was having a hard time trying to solve this one..
 
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.
 

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