/sci/ - Science & Math

>>8862984
Are you in highschool?

>>8862984

Brainlet

>>8863001
just try it and you'll see.

>>8862996
yes I'm graduating in a month. I've turned 18 in January tho

can anyone solve this or nah?

>>8863071
Yes

>>8863078
can you show me how to solve this then?

>>8862984
Just use a numerical solver my friend :^)

>>8863091

Literally differentiate the solution they give you and plug it in, why do you think you actually have to solve that DE, am I being baited?

>>8862984
Integrate it you retard.

Its just an application of the fundamental theorem of calculus.

>>8863127
>>8863131
No shit sherlock the problem what the fuck do i do after that

>>8862984
I legitimately can't understand what difficulty you are having here. Why post this? What did he mean by this?

>>8863141

this >>8863145

>>8863141
To solve a quadratic equation you use
https://en.wikipedia.org/wiki/Quadratic_formula

>>8863004

I did and that was why I called you a brainlet

>>8863153
>>8863156
oh shit im a brainlet

>>8863141
You didn't have to do any of this, it's a show that question, you can just plug in f(x), show it equals 0, and be done with it.

>>8863183
Technically, the way the question is worded, it could be interpreted as "show that f(x) must be such and such function in this initial value problem," rather than, "show that f(x) could be such and such function in this initial value problem." If the latter is the correct interpretation, then checking the two conditions is good enough. If the former is the correct interpretation, then, either you have to prove ln(x+sqrt(x^2 + 1)) is the only solution by integration and the quadratic formula, or use the uniqueness and existence theorems to show that a single solution of the initial value problem exists, and prove that the provided solution fits the bill.

>>8863247
this is the correct answer. the uniqueness and existence theorem for ODE really does save lives.

>>8862984

reported for being homework