Find the number k such that there exists a function y which is differentiable at every x and satisfies for every x in (-∞, ∞0), y′(x) = ky(x) and also satisfying y(-1) = 2 and y(1) = 10.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.2: Partial Derivatives
Problem 28E
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1. Find the number k such that there exists a function y which is differentiable at every x and satisfies for
every x in (-00,00), y(x) = ky(x) and also satisfying y(-1) = 2 and y(1) = 10.
Transcribed Image Text:1. Find the number k such that there exists a function y which is differentiable at every x and satisfies for every x in (-00,00), y(x) = ky(x) and also satisfying y(-1) = 2 and y(1) = 10.
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