Question

Find a solution u(x,t) to the problem 𝜕𝑢 𝜕𝑡 = 1.71 𝜕^2𝑢/𝜕𝑥^2 , 𝑢(𝑥, 0) = 𝑠𝑖𝑛 ( 𝜋𝑥/2 ) + 3 𝑠𝑖𝑛 ( 5𝜋𝑥/2 ) , 0 < 𝑥 < 2