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May 1st, 2017, 07:46 AM   #1
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Differentiating x(t)

I'm having trouble with an entry-level exercise in my differential equations class, and I feel very stupid as this shouldn't be too hard. I think I'm missing some basic knowledge about how to differentiate these kinds of problems. Here is a picture of the problem along with my thoughts:

I understand that I need to use the chain rule to differentiate, but I'm not sure how to apply it in this case.
tobberthyk is offline  
May 1st, 2017, 02:32 PM   #2
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Make sure you know the product rule for differentiating a product.

The derivative of $\text{x}^2\!$ with respect to $\text{t}$ is $2\text{x}\dot{\text{x}}$.

You could differentiate the given solution and then multiply both sides by $\text{x}$, etc.
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