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COT305 (COT 305) - Mathematics III - 2026 Exam
- COT305 End-of-Semester Exam Jan 2026 (2hrs, Mbapte/Nana/Suh, Department Computer Engineering) β Exercise 1: population difference equation at 1.
- 12% annual growth, value in 2050.
- Exercise 2: system αΊβ=xβ+xβ/αΊβ=4xβ+xβ (eigenvalues -1,3), Wronskian of e^{2x}/e^{5x} for y''-7y'+10y=0 verified fundamental, IVP y(0)=-1,y'(0)=1 solved.
- Exercise 3: Laplace IVP y''+4y'=3 sin t (recalled partial-fraction identity has typo 33/170β30/170=3/17, corrected in solution), Fourier cos(x/2) on [-Ο,Ο] β sum β1/(4nΒ²-1)=1/2.
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- Paper carries a Republic of Cameroon College of Technology stamp visible in the scan.
