I have been wondering ever since the first day of my differential equations class what linnearity means intuitively for a differential equation. I remember first being taught that linnearity meant an equation could be put in the form:(adsbygoogle = window.adsbygoogle || []).push({});

y = mx + b

Is the DE definition of linnearity at all related to the agebraic definition or am I getting mixed up by equivocation?

I would also like to get an idea of what various elementary functions look like so that when I read a problem it's not just letters on a page. Any suggestions for how I might best go about doing this?

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# Linnearity of DE's

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