Math Contest #8 [1 SBI prize]

Here you can keep your brain fit by solving math related problems and also earn SBI by doing so.
The problems usually contain a mathematical equation that in my opinion is fun to solve or has an interesting solution.
I will also only choose problems that can be solved without additional tools(at least not if you can calculate basic stuff in your head), so don't grab your calculator, you won't need it.

Every friday and tuesday!



No upvote, No resteem, No follow required!

I will give 1 SBI to 1 random persons who put a correct solution of the problem in a comment.

You have 48 hours to solve it.

Some additional rules for the case that the problem is an equation or a collection of equations.

In case there are multiple solutions, you have a higher chance of winning if you get all of them correctly.

Solutions can sometimes also be general like x = 20, y > -1. If there are multiple solutions submitted, that are part of the same general solution, they will be counted as one solution.

And one more thing: I only want integer solutions!



Today I want to give you something different(ial):
I don't know how much you now about differential equation( if you know nothing it would be time to learn it). Because of that I want to give you an easy and a hard equation. You'll get 1 point for solving the easy one and 2 for solving the hard one:
Screenshot from 2019-09-03 10-01-47.png
In case you don't know:
f'(x) is the first derivative of f(x) with respect to x.
g''(x) is the second derivative of g(x) with respect to x.

Solve for f(x)[1 point] or g(x)[2 points].

I don't know if you all know about differential equations. Please tell me if this is maybe too hard right now.


You can take a look at the results of the last contest here. There you can also find out how I evaluate your entries.

To everyone who already participated in a past contest, come back today and try a new problem(tell me if you don't want to be tagged):
@addax @ajayyy @athunderstruck @bwar @contrabourdon @heraclio @hokkaido @mytechtrail @onecent @sidekickmatt @sparkesy43 @syalla @tonimontana @vote-transfer

In case no one gets a result(which I doubt), I will give away the prize to anyone who comments.


@contrabourdon sponsors this contest with 2 STEEM weekly.
You can support him by using a witness vote on untersatz, so he can further support this and other contests.


Ugly formatting, but I accept it.
By the way if you want to write *something* without the word in between getting italic you can use \* instead of *
And if you want to write indexes, but your keyboard (-layout) doesnt allow it, you could at least use c_1 to show that you actually wanted to use a subscript there.

Yes somehow it looked way better in the preview:D

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