English: This problem we solved earlier in the lecture, so this is u(x,t) = S(x−y,t)f(y)dy + S(x−y,t−s)h(y,s)dyds for ∀x ∈ R, t > 0 the solution for such problem, where you have the non-homogeneous equation with non-homogeneous data so this is your solution once you get the solution then restrict to restrict x > 0 only that is your solution for So we can write we can write that so you simply substitute now what is your h₁_(odd) and g_(odd) and you can simply see that so this is what is your solution and wherever x is there x > 0, okay this is what is a solution for x positive, okay.
Telugu: ఈ సమస్యను మేము ముందు ఉపన్యాసంలో పరిష్కరించాము, కనుక అటువంటి సమస్యకు పరిష్కారంu(x,t) = S(x−y,t)f(y)dy + S(x−y,t−s)h(y,s)dyds;∀x ∈ R,   ఇది    t > 0 కోసం.