Please see attached. This is a general question for a more complex thermo problem, but it fits this form. Are there any tricks to getting expressions out of square roots in solving DEs?(adsbygoogle = window.adsbygoogle || []).push({});

y=y(x)

x=x(t)

I want to get y by itself so I can integrate with respect to x, but it is trapped in a square root expression. My guess of squaring both sides and "squaring" the dx/dt term by making it a second derivative doesn't seem right, but it's all I can think up. Does anyone have any suggestions?

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# Separating variables within square root expressions

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