I Look at this second order omogeneus differential equation: this. it 091; s. n Eli-3 c'h' this is called the "heat equation\" (in a symplified form). x is a real variable, t is the time (non negative real variable}. yogt) is a 2-variable function, whose physical meaning is the absolute temperature in kelvin degrees - at a certain point x at the time it So it is assumed that ylm. l] 12: ll trlr E lit": 2:2 I], in an environment such that there are no sources nor dispersions of heat. Verify that the function silt. fl = __ - r v is as solution ofthe heat equation. Suppose now that the following initial condition is given: glyr. iii : .r where c is a positive costant.. find out the solution y(x,t) \"E's: E R. at 3: ll just relying on its physical meaning (no computation is needed)