how to solve functional equation?
Let’s learn how to solve functional equation. The most accurate or helpful solution is served by Mathematics.
There are ten answers to this question.
Best solution
Given $P(x,y)$ which is a polynomial function, satisfying $P(x,y)=\displaystyle P(\frac{x-y}{2},\frac{y-x}{2})$. Then why should $P(x,y)$ be $\displaystyle\sum^n_{i=0}a_i(x-y)^i$? Is it unique?
Answer:
Define $R(t)=P(t/2,-t/2)$. Then $R$ is clearly a polynomial in $t$ (because compositions of polynomials...
Charles Bao at Mathematics Mark as irrelevant Undo
Other solutions
how do you solve the functional equation f(x)^2=1+x*f(x+1)? I know what the answer is (its f(x)= x+1), but i want to know why. How do you get this?
Answer:
I don't know of any known methodical approach. However, you can hope that any solution is from a particularly...
Braulio at Yahoo! Answers Mark as irrelevant Undo
historical background of linear equation...who is the great mathematician who discovered linear equation?
neca at Yahoo! Answers Mark as irrelevant Undo
Sorry, i asked same question about 15 minutes ago, but i forgot the equation. Show me step by step to solve it. 1st get the variables on one side of the equation. Next simplify each side of the equation What real number property must you use to do this...
Answer:
200 + 30x = 40x 1st...to get the variables on one side of the equation you subtract 30x from both sides...
Kyle at Yahoo! Answers Mark as irrelevant Undo
I do know how to solve when an equation is like this :6x-3y=21 and2x+3y=19 where the +3y and -3y cancelled out each other and become zero. What about an equation like this:6x-5y=21 and 2x+3y=19. find x and y. please teach me how to solve this kind of...
Answer:
Multiply constants to one or both equations until either x or y can cancel out 6x - 5y = 21 2x + 3y...
Omar at Yahoo! Answers Mark as irrelevant Undo
My professor loves teaching us new calculations and then putting the entire opposite of that method on exams or homework. I have absolutely no idea how to solve this equation so any help would be appreciated. Use the integrated rate equation for a first...
Answer:
The integrated rate law for a first-order reaction can be written a couple of different ways, but one...
Lost at Yahoo! Answers Mark as irrelevant Undo
You are standing still and watching a spaceship fly past. You observe that it takes 2.5 hr for the clocks on the spaceship to advance by 1.0 hr. How fast is the spaceship moving, relative to you? So we have to use the time dilation equation: t= t(knot...
Ms. J at Yahoo! Answers Mark as irrelevant Undo
In the equation below there are two variables x and y. How do you solve this equation for x and how do you solve for y?6x - 3 – y = 15 + 5yplease leave an explanation if you can along with the answer.
Answer:
Here's a similar problem: Solve for x 2x + y = -y + 4 - y. - y 2x = -2y + 4 /2 /2 x = -y + 2 Answer...
naterod99 at Ask.com old Mark as irrelevant Undo
the question is... line A is perpendicular to the line with the equation y=-1/3x and the point is on line A. what is the equation of line A? my book says the answer is y=3x-22 I am baffled as to how they got this answer, without a given point. Is there...
Answer:
"the point is on line A". Which point ? Without further information, there is no way of deriving...
Ilovecandy123 at Yahoo! Answers Mark as irrelevant Undo
I dunno how to solve this equation please help.. 2Ag2*CO3* = 4Ag + 2CO2* + O2* * sign is subscript Find the mass of silver carbonate, Ag2*CO3* that is required to produce 10 g of silver. the answer is actually 12.78 g but every time i tried to solve...
Answer:
Atomic mass Ag = 107.87, formula mass Ag2CO3 = 275.74 1 mole Ag2CO3 produces 2 moles Ag therefore 2...
Fred at Yahoo! Answers Mark as irrelevant Undo
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