TEMPERATURE-TIME RELATIONS IN CANNED GOODS 41 



A general solution of equation (1) satisfying all initial con- 

 ditions is 



from which 



t,=i;or^ e —^f"'^ +A,e '^"'^ +--- Iffi.e"^"^*^ —B,e -^^*'+l(6) 

 when r = z = 0. 

 i« is a root of J^ (Ma)^o and ^ a root of sin 2^1=o. 



EVALUATION OP CONSTANTS. 



The roots of Jq (^a) =o found in the tables^ are given in the 

 following table. The values of ^ which satisfy sin 2 ^ 1 = o are 



Xn^ 



n T 



2 1 



where n is any positive integer. These are also 



given below. The values of A are obtained^ from 



A = 



^ ( '^n") ■>o(n"j 



and the values of B are 



where m has all odd positive 



m 



integral values from 1 to infinity. 

 i20r 



