In a homogeneous second-order linear differential equation, two functions y1 and y2, and a pair of initial conditions are given. First verify that y1 and y2 are solutions of the differential equation. Then find a particularsolution of the form y = C1y1 + y = C2y2 that satisfies the giveninitial conditions. Primes denote derivatives with respect to x.
x2y″ + xy′ + y = 0; y1 = cos(ln x), y2 = sin(ln x); y (1) = 2, y′ (1) = 3
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