Differential equation and discrepency
I initially assumed that there are q(x) and p(x) which continues on the interval, and I defined initial conditions. f(0)=0 and f'(0)=0. Still, I can't get to a discrepancy with the existence and uniqueness theorem. I would be glad to have a little help here.
Prove that there is no continues functions $p(x),q(x)$ on the interval $(-2024,2024)$ such that: $y''+p(x)y'+q(x)y=0$ and $f(x)=\int_{0}^{x^{2024} }e^{-t^{2} }dt$ is a solution to the equation .
Answer
Answers can only be viewed under the following conditions:
- The questioner was satisfied with and accepted the answer, or
- The answer was evaluated as being 100% correct by the judge.

443
-
This was a challenging problem and it took me much longer than I expected. I spent about a couple of hours on this. I would appreciate a tip.
-
No problem.
-
-
I think you have a mistake in the derivative it should be x^6070.
-
Yes, I corrected the answer.
-
The answer is accepted.
Join Matchmaticians Affiliate Marketing
Program to earn up to a 50% commission on every question that your affiliated users ask or answer.
- answered
- 466 views
- $10.00
Related Questions
- Dependency of a solution for differential equation
- Long time behavior of solutions of an autonomous differential equation
- General solutions of the system $X'=\begin{pmatrix} a & b \\ c & d \end{pmatrix} $
- Ordinary Differential Equations
- Linear solutions, linear systems, autonomous systems, and key points.
- Calculus - 2nd order differential equations and partial derivatives
- Find the General Solution
- Find a formula for the vector hyperbolic problem
Low bounty.