Show me step by step this question posted before dont copy that I dont need that. Make sure use Laplaces's equation
Use : Laplaces's equation to solve this question
Extracted text: Find the generalized solution to the following heat equation ди ди a(x)- dt T(x)- — В(х)и, 0 < x="">< 1,="" t=""> 0, dx дх ди aj u(0, t) + ß1(0, t) = 0, t> 0, dx ди azu(1, t) + B2(1, t) = 0, t> 0, u(x,0) = f(x), 0<><1, where="" 1.="" a(x)=""> 0, t(x) > 0, B(x) > 0 for 0 < x="">< 1,="" 2.="" a1,="" a2,="" bi,="" b2="" are="" real="" valued,="" af="" +="" b;="" #="" 0="" and="" af="" +="" b?="" #="">