1. ∂u/∂t - 2 ∂u/∂x = 2
Answer: u(x,t) = f(x + 2t) - x
In this exercise, (a) solve the given equation by the method of characteristic curves, and (b) check you answer by plugging it back into the equation.
2. ∂u/∂x + x2 ∂u/∂y = 0
Answer: (a) u(x,y) = f(1/3 x3 - y)© BrainMass Inc. brainmass.com October 9, 2019, 8:46 pm ad1c9bdddf
Solving Partial Differential Equations by Change of Variables and Characteristic Curves is investigated. The solution is detailed and well presented.