COT 305 Mathematics 3 CA 2024

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COT 305: COT305 Test Nov 2024 (2hrs, Department Computer Engineering) – Exercise 1: difference equations (arithmetic sequence 2,4,6…; Fibonacci-like 1,2,5,14,41…; u_{n+1}=5u_n+3 particular solution; compound interest 9%; undetermined coefficients for u_{n+2}-6u_{n+1}+5u_n=n²+3n+2). Exercise 2: IVPs 2y'+y=5 with y(0)=2, x²y'+xy=1 with y(-1)=2.