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4h
comment Is there a general formula to solve $a^2+b^2+c^2=d^2+e^2+f^2$?
The obvious answer is a=+/-d and b=+/-e and c=+/-f, as well as the case when all are equal. But of course you know this.
12h
revised Find the solution set to the corresponding homogeneous system of equations
added 6 characters in body
13h
comment solution of differential equation $\left(\frac{dy}{dx}\right)^2-x\frac{dy}{dx}+y=0$
You may want to mention that the $y=0$ is also a solution.
13h
revised solve $54 x + 16 y = 2400$ for integer values of x,y
Changed text to include requirements appeared in notes. Also, added tag
13h
revised solve $54 x + 16 y = 2400$ for integer values of x,y
Changed text to include requirements appeared in notes. Also, added tag
1d
comment Examples of equations that creates pseudorandom numbers
This may help: mathoverflow.net/questions/29494/… and en.cppreference.com/w/cpp/numeric/random
2d
revised Trying to prove for all integers: $n \ge 1 \implies \frac{2n+1}{2n+2} \ge \frac{\sqrt{n}}{\sqrt{n+1}}$
Added tag
2d
comment Solve and equation for 2 variables
You know that you have to place 2X + 4Y in every sheet and you know that you have 600 pieces in total and that you have 100 sheets. What is missing? Are you looking for integer soultions (values of X, Y) for 2X+4Y<=600?
2d
comment Find the maximum number of people who participated in exactly three games?
The sentence "The number of people who did not participate in any of the three games was the minimum possible integral value with these conditions." is ambiguous.
2d
comment Find the maximum number of people who participated in exactly three games?
I have converted the image stating the problem to text, hoping that it would be more readable. Please confirm accurate translation and remove the picture if you so see.
2d
revised Find the maximum number of people who participated in exactly three games?
Converted picture to text - Asked PO to confirm correctness and remove picture since it is not clear.
Feb
3
comment Generalization of Maclaurin series?
Thanks for the explanation, I will try to get it! By the way, I did not down vote.
Feb
3
comment Generalization of Maclaurin series?
In addition, if you replace $x^n$ with $g(x)$, the L.H.S must be $f(g(x))$ not just $f(x)$.
Feb
3
comment Generalization of Maclaurin series?
Please explain how did you obtain $f'(x)=b_1a_1+b_2a_2g_2(x)+...?$
Feb
3
comment For what values ​​of a intersects $y = ax$, $y = \sin x$ just one time?
I suggest you begin by plotting sin(x). Since y=ax is a straight line going through (0,0). Hold a ruler representing y=ax and move it from one side and fix the other at the origin and see for yourself. This is a good practice before you attempt to solve the problem.
Feb
3
comment Are binary bit-strings the most efficient representation of integers?
somewhat relevant question:math.stackexchange.com/questions/446664/…
Feb
2
awarded  Unsung Hero
Feb
2
comment Find the rule connecting $y$ and $x$ in the form $y=mx+c$ for $1<x≤2$
The question is not very clear. You already know that $y=mx+c$. You could deduct from given info. that $m+c<y<=2m+c$. Is this the form you are looking for?
Feb
2
comment Solve for $X: X^{49} = 60$
@DanielR.Collins, you are correct. The radicals approach was already posted as a separate (and more popular) answer when I wrote the above.
Feb
2
revised Solve for $X: X^{49} = 60$
added 18 characters in body