Hint: Multiply the ODE by the factor u = eS p(z)dr Use this result to find the I.V.P solution: y + y = e", y(0) = 1

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 57SE: Repeat the previous exercise to find the formula forthe APY of an account that compounds daily....
Question
Find the general solution of the following differential equation
y/ + p(x)y = q(x),
p(x), q(x) E C(I)
Hint: Multiply the ODE by the factor u = es Pp(æ)dx
Use this result to find the I.V.P solution:
y + y = e",
y(0) = 1
Transcribed Image Text:y/ + p(x)y = q(x), p(x), q(x) E C(I) Hint: Multiply the ODE by the factor u = es Pp(æ)dx Use this result to find the I.V.P solution: y + y = e", y(0) = 1
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