Question

ques...

Answer 1

for the differential equation,
\[\frac{dy}{dx}=y\]
the general solution is
\[y=Ae^x\]
Is it the only general solution??

Answer 2

And in particular, does every differential equation have one general solution?

Answer 3

existence and uniqueness theorem
this is more complicated than it might seem..
http://www.math.uiuc.edu/~tyson/existence.pdf

@eliassaab

Answer 4

@ganeshie8 I can't understand that but is y=Ae^x the only function such that dy/dx=y

Answer 5

What is that first that you will take its derivative once and you will get the same function you started with?? Exponential function is one example..

Answer 6

What is that *function....