The given differential equation is already in standard form, as the coefficient of the highest order derivative is 1. 1 y" + 3y² + 2y 2 + ex The next Wronskians to calculate use y₁ = ex and y₂ = e 1 nonhomogeneous, f(x) 2 + ex 2 W₁ = 80 V/³ W₂ 0 = √ (2+89-1 11 = = II = e-2x + ex)-1 -2e-2x 0 FOO 0 ~* (2 + 8X)-1/ that we identified from the complementary function and the function of x that makes the equati

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The given differential equation is already in standard form, as the coefficient of the highest order derivative is 1.
y" + 3y + 2y =
The next Wronskians to calculate use y₁ = ex and y₂ = e-²x that we identified from the complementary function and the function of x that makes the equation
nonhomogeneous, f(x) =
2 + ex
W₁ =
=
W₂ =
e-2x
2 + ex
-|-|
Transcribed Image Text:The given differential equation is already in standard form, as the coefficient of the highest order derivative is 1. y" + 3y + 2y = The next Wronskians to calculate use y₁ = ex and y₂ = e-²x that we identified from the complementary function and the function of x that makes the equation nonhomogeneous, f(x) = 2 + ex W₁ = = W₂ = e-2x 2 + ex -|-|
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