I have difficulty to solve the following problem:
"Solve The Cauchy Problem:
in the domain of x>0 ,y>0. Does the equation have a single solution around the beginning curve? if there is find u(x,y). my answer in the domain x>0,y>0 u is positive.so we can divide by u. the rest of my calculations:
the official answer is : u(x,y)=x^2+y^2
I don't understand what is wrong my solution. thank's :)
Found my mistake: if plug $A(s)$ and $B(s)$ Wrong and I multiplied by 2 wrong $(e^t)^2=e^{2t} $