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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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