42 Replies
@Apu
Note for OP
+solved @user1 @user2... to close the thread when your doubt is solved. Mention the users who helped you solve the doubt. This will be added to their stats.also what about sin(d^2y/dx^2) + dy/dx=5
what if you take dy/dx=t
here you have to take d^2y/dx^2 as a separate by taking dy/dx other side then taking sin^-1() on both sides and then same dy/dx=t
tell me if it doesn't work I'll give it a try
oh
so order would be 2
wb degree?
undefined
if the expression is not, or cant be turned into a polynomial in dy/dx then degree cant be defined
but the power of the highest order is 1 right
this one btw
sin(d^2y/dx^2) + dy/dx=5
order has no such polynomial condition so im gonna go on a limb and say order = 2
alr and degree?
has that polynomial condition, as i said, so undefined
ohh okay
wb here @Nimboi
order 2
degree undefined?
haan bhai polynomial nhi hai voh dy/dx mein
for more examples check diff eq ncert
but like
power of the highest order is 1 there
i agree but since degree is a term that's adopted from polynomials, for some mathematical reason or the other (maybe compatibility) we've defined it such that
degree is only defined when polynomial in dy/dx
@Satya S sir do u know why we've defined it like that specificallyok so no derivative shuld be part of a function?
https://math.stackexchange.com/questions/3576423/what-is-the-definition-of-the-degree-of-a-differential-equation
I remember this answer pretty much sums it up.
Mathematics Stack Exchange
What is the definition of the degree of a differential equation?
Edit: I realise this is causing a lot of confusion, perhaps I've not been very clear as to what exactly I'm asking for, so here's a more clear summary.
I'm saying that if degree is positive integral
Interesting questions. I have never read anything about it to be honest but if I were to guess, degree is defined for algebraic functions (polynomials) and therefore generalising the same idea in differential means we need to talk about degree for algebraic functions. Here in this question sin x is a transcendental function which cannot be expressed in the form of a polynomial of constant degree (like if you use series expansion then it will be having infinitely many terms which means the degree is infinite or undefined). Another reasoning can be to standardize a definition so that all mathematicians across the globe are on the same page.
ah yeah fair
definition thing
Derivative should not be in denominator or radicals (fractional powers) or trigonometric or logarithmic or exponential to the point where it cannot be isolated independently as a function of x. In short dy/dx = f(x). Now f(x) can be any function of x
yep
this isn't just for dy/dx, all derivative terms of any degree that appear in an equation must be isolable
polynomial is of the form $ax^n + bx^(n-1) + cx^(n-2) ... and so on till px^1 + qx^0 which is just q$
Nimboi
wow nevermind thats just cursed
thats hilarious lmfao
I love LaTeX 🥵
gaand mein danda
I've always loved it ever since I came across it in class 11
Great devotional song I've heard in 2025
I could have named myself I love LaTeX but I chose flame tests
Cuz I luv flame tests more 🥺👉🏻👈🏻
give this man some salts and a fire and bro will entertain himself for however long
Yeahhhhhh
There's latex here. How do I use it? Let me try
Polynomials of the form $ax^2+bx+c$ are quadratic
Satya S
:Rick_cool_smug:
skam KEKW
i was supposed to put brackets after my powers
Simple way.
$p(x) = \sum{k=0}^{n}a{k}x^{k}$
Opt
@Nimboi
Try putting your '$'s only around what you want in maths form. Don't use it for regular text stuff.
How did you guys learn how to use this bot to print such equations in LaTeX?
i didn't actually learn, which is why i failed a little above
i use https://desmos.com/calculator to type my math expression normally in a more friendly UI, and copypasting that text gives you the latex
life hack
can type
int for integral or sum for sigma, and use ^ for powers
yeah makes senseoh you asked order and degree 💀 💀 💀 💀 💀
I was thinking of how to solve
"Give a man a fish, he'll satisfy his hunger for 10 minutes
Teach a man how to fish, he'll satisfy his hunger for the rest of his life" ahh comment 🤲 🤲 🤲 🤲
why is ishowspeed here
+fsolved
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