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Theory and Applicationsa. Assume that P(x) and Q(x) are
Chapter 9, Problem 3AAE(choose chapter or problem)
Problem 3AAE
Theory and Applications
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 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
Questions & Answers
QUESTION:
Problem 3AAE
Theory and Applications
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 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
ANSWER:
SOLUTION:
Step 1 of 3:
In this question, (a) Assume that and are continuous over the interval . Use the Fundamental Theorem of Calculus, Part 1 to show that any function satisfying the equation for is a solution to the first-order linear equation
(b) If , then show that any solution y in part (a) satisfies the initial condition .
