Question

4) (2 marks) Use the method of separation of variables to find the explicit solution of the following equation

Answer 1

Solution: Given differential equation is de tone = Sortime) ola by using a separation of variable, » cogant og det da Integrating on both sides, we get Scannedy share there are @. first to live Rittis - Saisedy a tips o g 145= false = af de stores de de integrating by parts, we use ses de - 1. for dx - Stemet.( Todafdze formuler

Coxac cox r = ll binada=du. 2 oferty = Pape Searance Species de la pare] =[sec°se do – 05 (. fex dredx =924. Hawa - of towne dze = am Hanz- of bimore doe. o commeau - Share one or = +(4) .-- ( 11 de =- logrul = -logi Cost 244 dr = stanz-26-log119x341) ador tanse talog1 64*1 * Therefore, from , me get. = 2 tanze +59616431) +C where ca a integrating - constant → -45 343 tanze +glog (1 Correl) + C7 a dx = nitan