Posts by Anthony Lahmann

Anthony Lahmann · Help Me !

How do you solve the differential equation

?
As most of you know, this the damping equation where a is the strength of the spring, b is the linear part of the damping coefficient, and c is the quadratic part of the damping coefficient of the spring.

Anthony Lahmann · This is Cool

Is there a function:

such that:
?

Here's how I did it:

which is wrong. What happened? (W is the Lambert W function)

Anthony Lahmann · This is Cool

Let's prove that all numbers are equal.

What went wrong?

Anthony Lahmann · This is Cool

Jaspers wrote:

Anthony Lahmann wrote:
If
is a palindrome, when is
a palindrome? By looking at this chart, it looks like the only values that work are
. The values of
are
. Is it true that these are the only palindromes of the form
, where
is a palindrome? If true, prove why. Otherwise, find a counterexample.
Hi Anthony.
I’ve found another one:

Is that the next smallest one?

Anthony Lahmann · This is Cool

phrontister wrote:

Hi Anthony & Jaspers;
I found these:

The statement "0 is a palindrome" is ambiguous. That's why I excluded it.

Anthony Lahmann · This is Cool

If is a palindrome, when is a palindrome? By looking at this chart, it looks like the only values that work are and . The values of are and . Is it true that these are the only palindromes of the form , where is a palindrome? If true, prove why. Otherwise, find a counterexample.

Anthony Lahmann · This is Cool

bob bundy wrote:

hi Anthony Lahmann
Welcome to the forum.
According to Wolfram Alpha, this is sin-1(x) and the second is -sin-1(x). So there's a sign error in there somewhere. I'll try to track it down later.
Bob

There is nothing wrong with this! I differentiated the u correctly, and I solved for x correctly.

Anthony Lahmann · This is Cool

How do you integrate

by u-substitution? Here's how I did it:

After we did the u-substitution, we end up with the exact same integral, but with a negative in the front. What happened?

Math Is Fun Forum

#1 Help Me ! » Damping Equation » 2020-01-12 12:29:14

#2 This is Cool » Half-Exponential Function » 2020-01-11 15:16:04

#3 This is Cool » Proof All Numbers are Equal » 2020-01-05 19:20:21

#4 Re: This is Cool » When is n(2n+1) a palindrome? » 2019-05-29 15:10:14

#5 Re: This is Cool » When is n(2n+1) a palindrome? » 2019-05-29 15:08:35

#6 This is Cool » When is n(2n+1) a palindrome? » 2019-05-23 16:27:16

#7 Re: This is Cool » Integral of 1/sqrt(1-x^2) » 2019-05-13 12:23:15

#8 This is Cool » Integral of 1/sqrt(1-x^2) » 2019-05-12 11:45:12

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