a. Assume that P(x) and Q(x) are continuous over the interval [a, b]. Use the Fundamental Theorem
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a. Assume that P(x) and Q(x) are continuous over the interval [a, b]. Use the Fundamental Theorem of Calculus, Part 1, to show that any function y satisfying the equation
for ν(x) = e∫P(x) dx is a solution to the first-order linear equation.
b. If then show that any solution y in part (a) satisfies the initial condition y(x0) = y0.
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Related Book For
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
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