Vol 10 Chapter 2770: On-site proof

"Although the differential equation of a single value group is not an explanatory problem, it cannot be solved in a short time."
"Qin Luo is absolutely impossible to win this time!"
In this regard, Richard Mille is very confident...
Time flies quickly, and several days have passed almost in the blink of an eye.
In the past few days, except for the first day, Qin Luo spent almost all of his time in the Yan University Research Institute.
Thanks to the disdainful efforts of Qin Luo, Zhou Minggang and others, the active change technology has made considerable progress.
It just so happened that Deligne came to Yanda this day.
I happened to see Qin Luo.
Deligne:? ? ?
Shouldn't Qin Luo be preparing for the award ceremony now?
Why do you suddenly appear here?
Seeing Qin Luo, Deligne was stunned!
"Qin Luo, why are you here? Shouldn't you be studying the differential equation of a single value group now?" Deligne frowned and asked.
Yes, according to his script, Qin Luo should now be studying differential equations for single value groups.
But he suddenly appeared here now!
Deligne almost didn't believe his eyes.
"Teacher, the singular group differential equations need to be studied, but manned spaceflight can't be put down, do you think it is not?" Qin Luo smiled, and said: "More The group differential equations are well studied."
Deligne:? ? ?
What did he hear?
Qin Luo has completed the demonstration of the singular group differential equation?
Am I dreaming?
At the moment when Qin Luo's words fell, Deligne was stunned.
Qin Luo has completed the demonstration of the single-value group differential equation! He could hardly believe his ears.
How can anyone in the world complete a project in just a few days?
Although this topic is only the third category, it is impossible for anyone to complete it in a short time.
"Cough cough~" Deligne coughed awkwardly, and then said: "Qin Luo, you don't want to be funny when you are joking!"
joke?
Emmmm...
Qin Luo shrugged, a helpless smile flashed across his face.
No one would believe it on anyone's head.
"Professor Deligne, what I said is true. If you don't believe it, I can show it to you on the spot." Qin Luo said.
Calculus on the spot?
Actually, this is not impossible.
Deligne nodded heavily, and said: "If this is the case, then show me the calculations. I would like to see in just a few days. This is how you demonstrated the singular group differential equation!"
"No problem!" Su Yun responded loudly, and then waved to the staff on the side, who quickly brought a few white papers to Qin Luo.
"Teacher, shall I start now?"
"En~"
Nodding, Deligne stared at Qin Luo unblinkingly, fearing to miss any of Qin Luo's movements.
With a faint smile, Qin Luo unscrews the cap, and then walks away: If the function f(x,y) is continuous on the rectangular domain R and meets the Lipschitz condition for y, then the equation dy/dx=f(x,y ); There is a unique solution y=φ(x), defined on the interval
x-x0
<=h, continuous and satisfying the initial value condition φ(x0)=y0, where h=min(a,b/M) ,M=max
f(x,y)
.
Let y=φ(x) be the solution of the equation defined on the interval x0＜=x＜=x0+h, and satisfy the initial value condition φ(x0)=y0, then y=φ(x) is the integral equation y=y0+ ∫f(x,y)dx,x0<=x<=x0+h is defined as the continuous solution on x0<=x<=x0+h, and vice versa.
For all n, the pickup stepwise approximation function φn(x) is defined on x0<=x<=x0+h, continuous and satisfying the inequality
φn(x)-y0
<=b.
...