The sine integral function is defined as Si(x) # x 0 sin t t dt, where the integrand is

Chapter 2, Problem 43

(choose chapter or problem)

The sine integral function is defined as

\(\operatorname{Si}(x)=\int_{0}^{x} \frac{\sin t}{t} d t\)

where the integrand is defined to be 1 at x = 0. Express the solution of the initial-value problem

\(x^{3} \frac{d y}{d x}+2 x^{2} y=10 \sin x\); y(1) = 0

in terms of Si(x).

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