Finding a Particular Solution Consider the differential equation and the solution Find

Chapter 16, Problem 31

(choose chapter or problem)

Finding a Particular Solution Consider the differential equation y" + 100y = 0 and the solution \(y=C_{1} \cos 10 x+C_{2} \sin 10 x\). Find the particular solution satisfying each initial condition.

(a) y(0) = 2, y’(0) = 0

(b) y(0) = 0, y’(0) = 2

(c) y(0) = -1, y’(0) = 3

Text Transcription:

y=C_1 cos 1-x + C_2 sin 10x

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