Question

u (x, t) = e − 2π*2t*sin πx is the solution of the two-dimensional Laplace equation.

(a) True

(b) False

The question was posed to me in my homework.

My doubt is from Method of Separation of Variables in section Applications of Partial Differential Equations of Engineering Mathematics

Answer 1

Right choice is (b) False

To explain: The solution of the two-dimensional Laplace equation is,

u(x, y) = sin x*cosh y