Selve the given initial-value problem in which the input function g(x) is discontinuous. (Hint: Solve the problem on two intervals, and then find a solution so that y and y' are continuous at x = =] y" - 2y + 10y = g(x) x(0) = 0, y(0) = 0, where [30, OSXS* 0. X> x(x)= g(x) = . 05x5m .X>M

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
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Solve the given initial-value problem in which the input function g(x) is discontinuous. (Hint: Solve the problem on two intervals, and then find a solution so that y and y' are continuous at x = =]
y" - 2y + 10y = g(x) x(0) = 0, y(0) = 0, where
g(x)=
[30, OSXS
10, x>x
x(x)=
. Osxsn
Transcribed Image Text:Solve the given initial-value problem in which the input function g(x) is discontinuous. (Hint: Solve the problem on two intervals, and then find a solution so that y and y' are continuous at x = =] y" - 2y + 10y = g(x) x(0) = 0, y(0) = 0, where g(x)= [30, OSXS 10, x>x x(x)= . Osxsn
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