COT 305 Mathematics 3 CA 2022

About this paper

COT 305: COT305 CA Nov 2022 (1.5hrs, Dr Takembo/Prof. Nana, Department Computer Engineering) – 9 questions: ODE definitions, Picard iteration (y'=x-y, y(0)=1, n=0,1,2), 2y'+y=3 with two ICs, 3xy'-y=ln x+1, particular solution coefficients A,B for y''-y'=cosx+sinx, nonhomogeneous y''+y'-2y=xe^x (both undetermined coefficients and variation of parameters asked in paper 17), Euler-type change of variable, Euler equation x²y''-5xy'+9y=0 (repeated root r=3), power series y''+xy'+y=0.