How can I use matlab to find the solution of an equation when equal to zero using variables without substituting with numbers?

I want to find how can I use matlab to find the solution of an equation when equal to zero using variables without substituting with numbers?

for example if the equation is : (x^2) - (y^2) = 0

the answer will be (x=y)

Answer 1

[Roger Stafford]

That is what the 'solve' function of the Symbolic Toolbox endeavors to do. It is not always successful, but it capable of some remarkable results.

[Ahmed Fahmy]

Thank you very much for your answer, I tried to use 'solve' but i didn't give me the expected answer, as you see below:

syms u v [solv, solu] = solve([u^2 - v^2 == 0], [v, u])

solv =

0

solu =

0

while I expected to give me answer (x=y)

[Ahmed Fahmy]

Actually it worked with one variable only:

syms a b c x y sol = solve(x^2 - y^2== 0)

sol =

y
-y

but how can i use it with 2 variables ?

[Star Strider]

You just have to ask it in a way it understands:

syms u v 
v = solve([u^2 - v^2 == 0], v)

produces:

v =

    u
   -u