hi can someone help me please to do b) of this problem i didn't know how to skech the region:
Problem . Consider transport equation ut + 3ux = 0, −∞ < x < ∞, t > 0.
a) Find solution to this problem satisfying initial condition u(x, 0) = e−x^2
for −∞ < x < ∞.
b) Sketch a region on (x, t) plane where u(x, t) > 1/e.
thanks
Problem . Consider transport equation ut + 3ux = 0, −∞ < x < ∞, t > 0.
a) Find solution to this problem satisfying initial condition u(x, 0) = e−x^2
for −∞ < x < ∞.
b) Sketch a region on (x, t) plane where u(x, t) > 1/e.
thanks