Question

The partial differential equation of 1-Dimensional heat equation is ___________

(a) ut = c^2uxx

(b) ut = puxx

(c) utt = c^2uxx

(d) ut = – c^2uxx

The question was posed to me in an interview for job.

I'm obligated to ask this question of Solution of 1D Heat Equation in division Applications of Partial Differential Equations of Engineering Mathematics

Answer 1

Right choice is (a) ut = c^2uxx

Easy explanation: The one-dimensional heat equation is given by ut = c^2uxx where c is the constant and ut represents the one time partial differentiation of u and uxx represents the double time partial differentiation of u.