Thread: Rewrite DE as linear equation

Hi,

Is it possible to rewrite the equations

(a)

(b)
as linear equations?


Can someone give me a hint, please?

Thanks a lot in advance.

Honey

Originally Posted by HoneyPi

Hi,

Is it possible to rewrite the equations

(a)

(b)
as linear equations?


Can someone give me a hint, please?

Thanks a lot in advance.

Honey

I'm hoping you can see that



.

As .

So you can rewrite this function as

for all .



You should also be able to see that



.

As .

So you can rewrite the function as

for all .


So, you can rewrite the first as a linear function, and the second as a quadratic function.