u=x logy , x=t^2 ,y=e^t

asked by guest
on Dec 24, 2024 at 9:18 am



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.