COT 305 MATHEMATICS 3 CA 2025

About this paper

COT 305: COT305 Test Nov 2025 (2hrs, Department Computer Engineering) – Exercise 1: triangular numbers sequence, particular solution u_{n+1}=1.05u_n+4 with u_0=40, bus-breakdown recurrence with x_0=40 (x_26≈347), undetermined coefficients for u_{n+2}+2u_{n+1}+u_n=2^n n² (resonance r=-1, particular solution 2^n(3n²-8n+4)/27 verified). Exercise 2: IVP 2y'+y=3 with y(0)=1, integrating factor μ=xy verified for (3xy+6y²)dx+(2x²+9xy)dy=0.