APPENDICES 



APPENDIX A. 

 Solution of the equation (see 15, Chap. II.) 



4i+= e a) 



where e is constant. 



The equation may be written in the form 



di . r. e 



Multiplying throughout by c L , where c is the base of the Naperian 

 logarithms, we get 



7 i ' 7 



' dt 



or 



the integral of which is 



-tf+C ..... . (2) 



where C is a constant, whence 



i = - + Ci~ L ....... (3) 



To determine the value of C, we must remember that i when 

 t = 0, therefore from (3) 



0=+tf ....... (4) 



