In a homogeneous second-order linear differential equation, two functions y1 and y2, and a pair of initial conditions aregiven. 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.
y″ + y′ = 0 y1 = 1, y2 = e−x; y(0) = −2, y′(0) = 8
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