Homework Statement
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(dy/dx)^2 = (1-y^2) / (1-x^2)Homework Equations
Separating the variables I arrive with:
dy/sqrt(1-y^2) = dx/sqrt(1-x^2)
By integration on both sides by trigonometric substitution and putting it in a general solution:
Arcsin y - Arcsin x = C
The Attempt at a Solution
If...
thank you guys for all the responses. I really appreciate it. It is somehow becoming clearer. But another question:
In calculus, why does it uses just function and not relation?
yes and this is where the
comes in.The word "function" relates two things in a special way which applies in both languages. Just that in mathematics, it demands an exact value while in your economics example it was a mere statement of the relationship between the 2 things, right?
why does a function have to be called function? Can't it be just be called a relation, for instance, of 2 variables?
the word function is confusing me. Of course, I have searched and read its definition but i just can not get it. I could just set it in my head but I don't understand it well enough.
decided to be a member with hopes i can learn from you, geniuses, some of your greatness you are willing to share to help someone like me who is making my way to become a chemical engineer someday, hopefully. likewise, I will also share what i have as much as i can. so let us help each other guys.