Can't understand a hint in a calculus problem?

[physicsss]

I have no idea what the hint tells me to do...please help me set the problem up...

 

[whozum]

Its telling you to simplify u(x,y) as part of another function h(t). Choosing

$$h(t) = \frac{t}{(1+t^2)^{1/2}}$$, then h(u) =

$$h(u) = \frac{x-uy}{1+(x-uy)^2)^{1/2}}$$ which is your original function. From there:

$$u(x,y) = h(x-uy), u - h(x-uy) = 0$$, where you can solve the PDE

 

[M98Ranger]

Sure, I'd be happy to help you set up the problem. Can you please provide more context or information about the problem and the hint? This will help me understand the situation better and provide you with more specific guidance. Also, have you tried breaking down the problem into smaller steps and identifying any key terms or equations that may be relevant? Sometimes, taking a step back and approaching the problem from a different angle can help clarify the hint and make it easier to understand. Let me know if you have any specific questions or concerns, and I'll do my best to assist you.