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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) = 4 + e^ = 0 0 = |(4 + 8x) -² -26-2x| W₂ = V₁ = 4 + ex e-x 0 (4+ e*)-

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) = 4 + e^ = 0 0 = |(4 + 8x) -² -26-2x| W₂ = V₁ = 4 + ex e-x 0 (4+ e*)-

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. 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 0 W₁ = X ²₁₂ f(x) = W₂ = = 0 e-2x (4 + ex)-1 -2e-2x Y₁ 0 Y₁' f(x) 0 x (4 + 8x)-1| e-x 4 + e* -e-x (4.
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 0 W₁ = X ²₁₂ f(x) = W₂ = = 0 e-2x (4 + ex)-1 -2e-2x Y₁ 0 Y₁' f(x) 0 x (4 + 8x)-1| e-x 4 + e* -e-x (4.
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