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# Differential Equations watch

1. The question is:

dx/dt = (2-exp(t))/(3+2x)

I can separate the variables and integrate (adding constant) to get:
3x+x^2 = 2t - exp(t) +c

....how do I make x the subject of this equation as I need x=???

Many thanks!!
2. (Original post by nancy881314)
The question is:

dx/dt = (2-exp(t))/(3+2x)

I can separate the variables and integrate (adding constant) to get:
3x+x^2 = 2t - exp(t) +c

....how do I make x the subject of this equation as I need x=???

Many thanks!!
Use completing the square for x.

Spoiler:
Show
Write for some a, b where a and b don't have x in 'em.
3. thanks!

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Updated: February 13, 2010
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