(adsbygoogle = window.adsbygoogle || []).push({}); Re: The difference between linear and non linear differential equation

Hello,

I was going through the same problem. From what I can see on the net, one of the relations a linear function has to express is:

f(u + v) = f(u) + f(v)

Now if f(x) = ax + b is linear then

f(u + v) = a(u+v) + 2b

So f(u + v) is not equal to f(u ) + f(v).

So why is f(x) = ax + b linear as it fails this criteria?

Sorry for this stupid question......

Thanks,

Luc

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# Doubt about linear functions

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