(adsbygoogle = window.adsbygoogle || []).push({}); How do the "d" terms in differential equations work?

Hi,

I was hoping someone could explain how the "d" terms in differential equations work? For example,

d^{2}y/dx^{2}= 4x^{3}+1

To solve I have been rearranging to get,

d^{2}y = (4x^{3}+1)dx^{2}

and then doing a double integral of each side.

I sort of assume that the double integral of d^{2}y is equal to y rather than y^{2}/2 but I don't really understand why this is the case.

Can someone please explain this to me and also why the powers are applied differently to the numerator and the denominator?

Regards,

Chris

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# How do the d terms in differential equations work?

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