[(dw)/(ds)=5se^(7w)/(4w)] , let us write this differential equation as variables are separable. [(wdw)/e^(7w)=(5/4)sds] , integrating ,we get [intwe^(-7w)dw=int(5/4)sds+ C] , where c is integrating constant [(we^(-7w))/(-7)+(1/7)e^(-7w)/(-7)=(5/4)s^2/2+c] [-((w+1/7)e^(-7w))/7=(5/8)s^2+c] Solution [(dw)/(ds)=5se^(7w)/(4w)] , let us write this differential equation as variables are separable. [(wdw)/e^(7w)=(5/4)sds] , integrating ,we get [intwe^(-7w)dw=int(5/4)sds+ C] , where c is integrating constant [(we^(-7w))/(-7)+(1/7)e^(-7w)/(-7)=(5/4)s^2/2+c] [-((w+1/7)e^(-7w))/7=(5/8)s^2+c].