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# Get solution: Find a formula involving integrals for a particular solution of the

ISBN: 9780470383346 394

## Solution for problem 16 Chapter 4.4

Elementary Differential Equations and Boundary Value Problems | 9th Edition

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Problem 16

Find a formula involving integrals for a particular solution of the differential equation y 3y + 3y y = g(t). If g(t) = t 2et , determine Y(t).

Step-by-Step Solution:
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Basic Math Sciences Notes Rules for Exponents; n m n+m  b * b = b o Multiply the base but add the exponents 5 7 12  x * x = x m-n n-m  1/b = b o Dividing the same base but subtracting the exponents 5 7 2  y /y = 1/y  (b ) = b m*h o Power raise to a power, multiply the exponents 5 2 10  (z ) = z  (a * b) = a * b n n n n  (a/b) = a /b Examples;  (5x) = (5 ) (x ) = 625x 4 2 n n o (a *b) = a * b 14 8 3 8-(-2) 3 10 3 30  (-30a b ) (-3b ) (-3b ) -27b ―――― = ―――― = ――― = ――― (10a b ) -2

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