English: So let us start with showing that property one u(x−y,t) is a solution so before I do this I assume that let u(x,t) be a solution of heat equation that is u_(t) − α²u_(xx) = 0, okay so once you assume the above is also a solution this proof is easy, we can see that u_(t) you need to calculate so first let call this u₁(x,t) = u(x−y,t), okay.
Telugu: దీనిని చూపించడానికి ముందు నేను u(x,t) ని ఉష్ణ సమీకరణం u_(t) − α²u_(xx) = 0 యొక్క పరిష్కారం అని అనుకుంటాను, సరేనా.