Posted by Soroban on September 04, 2002 at 02:35:45:
In Reply to: DE mechanics prob posted by Colin on September 04, 2002 at 02:13:44:
: v = dx/dt = R*Sqrt[2g/(R+x)]
: can this be solved by separating the variables? I can't figure out how.
: dx/Sqrt[2g/(R+x)] = Rdt
: but how can I integrate the left side???
: Can someone help me to figure out the integration?
On the right side, make TWO square roots: dx/dt = R*sqrt(2g)/sqrt(R+x)
Then "separate": sqrt(R+x) dx = R*sqrt(2g) dt
Embarrassingly simple, isn't it?
I'm not laughing at you. (Been there, done that!)
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