u=x logy , x=t^2 ,y=e^t
You asked:
Solve the system of equations:\[\begin{aligned}u &= x \log\left( y \right)\\x &= {t}^{2}\\y &= {e}^{t}\end{aligned}\]
MathBot Answer:
The system of equations has infinitely many solutions.
$$\begin{aligned}t &= \log{\left(y \right)}\\u &= \log{\left(y \right)}^{3}\\x &= \log{\left(y \right)}^{2}\end{aligned}$$\(y\) is a free variable.