- #1

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## Homework Statement

[tex]\frac{dx}{dt} = \sqrt{2(\frac{E}{m}) -\omega^2 x^2}[/tex]

## Homework Equations

[tex] \frac{dx}{dt} = v [/tex]

## The Attempt at a Solution

I keep ending up with the statement x=0.

[tex]\frac{dx}{dt}=\sqrt{2\frac{E}{m} -\omega^2 x^2}[/tex]

Then

[tex](dx/dt)^2 =2\frac{E}{m} -\omega^2 x^2 [/tex]

and 1/2 mv^2 = E

[tex](dx/dt)^2 = v^2 - 2 \omega^2 x^2[/tex]

and with dx/dt being v that makes

[tex]0=\omega^2x^2[/tex]

and then I'm sad :-(