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The given differential equation is already in standard form, as the coefficient of the highest order derivative is 1. 1 6 + ex W₁ The next Wronskians to calculate use y₁ = function of x that makes the equation nonhomogeneous, f(x) - = y" + 3y + 2y = = W₂ = - 1₁6 +07) - = 0 Y2 f(x) y/₂ (6 + ex)-1 -2e-2x Y₁ 0 Y₁' f(x) e-x and Y₂ = e 0 +85-1/ -e-x (6 + ex)-1| -2x that we identified from the complementary function and the 1 == 6 + ex

The given differential equation is already in standard form, as the coefficient of the highest order derivative is 1. 1 6 + ex W₁ The next Wronskians to calculate use y₁ = function of x that makes the equation nonhomogeneous, f(x) - = y" + 3y + 2y = = W₂ = - 1₁6 +07) - = 0 Y2 f(x) y/₂ (6 + ex)-1 -2e-2x Y₁ 0 Y₁' f(x) e-x and Y₂ = e 0 +85-1/ -e-x (6 + ex)-1| -2x that we identified from the complementary function and the 1 == 6 + ex

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The given differential equation is already in standard form, as the coefficient of the highest order derivative is 1. 1 6 + ex W₁ The next Wronskians to calculate use y₁ = function of x that makes the equation nonhomogeneous, f(x) = y" + 3y + 2y = = W₂= - 1₁6 +07) - = 0 Y2 f(x) y/₂ (6 + ex)-1 -2e-2x Y₁ 0 Y₁' f(x) e-x and Y₂ = e 0 +85-1/ -e-x (6 + ex)-1| -2x that we identified from the complementary function and the 1 == 6 + ex
Transcribed Image Text:The given differential equation is already in standard form, as the coefficient of the highest order derivative is 1. 1 6 + ex W₁ The next Wronskians to calculate use y₁ = function of x that makes the equation nonhomogeneous, f(x) = y" + 3y + 2y = = W₂= - 1₁6 +07) - = 0 Y2 f(x) y/₂ (6 + ex)-1 -2e-2x Y₁ 0 Y₁' f(x) e-x and Y₂ = e 0 +85-1/ -e-x (6 + ex)-1| -2x that we identified from the complementary function and the 1 == 6 + ex
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