Answer:
x'-5x=0, or x''-25x=0, or x'''-125x=0
Step-by-step explanation:
The function 
is infinitely differentiable, so it satisfies a infinite number of differential equations. The required answer depends on your previous part, so I will describe a general procedure to obtain the equations.
Using rules of differentiation, we obtain that 
. Differentiate again to obtain, 
. Repeating this process, 
.
This can repeated infinitely, so it is possible to obtain a differential equation of order n. The key is to differentiate the required number of times and write the equation in terms of x.
Answer: x⁶︎+1 or 2⁶︎
Step-by-step explanation: you add the exponents and because x technically has a 1 in front of it, you add 1+1 and end up with 2⁶︎
Im taking the test right now I’ll give you the answer
