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    You're very welcome. That's why we're here. It's...

    You're very welcome. That's why we're here. It's a great feeling to know that you've helped somebody out! :)
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    It's implied. Note that y' can't be used for a...

    It's implied. Note that y' can't be used for a partial derivative. That means that it must be a total derivative with respect to the independent variable. In this case that's x.

    If there are more...
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