Toronto Math Forum
APM3462022S => APM346Lectures & Home Assignments => Chapter 2 => Topic started by: Yifei Hu on February 01, 2022, 09:47:20 AM

In solving the problem $2U_t+3U_x=0, U(0,x)=f(x)$, tutorial gave answer $U=f(x\frac{3}{2}t)$ while I have $U=f(3t2x)$. Are both answers valid? We can use different form of C as long as it represent the same family of characteristics right?

Yes, there are many answers which are correct because they include arbitrary functions (and in ODE arbitrary constants)