we have found the following Wronskians. W = -3x; We want to find functions u₁(x) and u₂(x) such that y = W. Y W W. W X; W₁² (2+0)-¹; W₂ = =- (2 + ex)-1 -3x -*(2 + e*)-1 (2+ e*)-1 ₁₁ +4₂₂ is a particular solution. We can find the derivatives of these functions as follows.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Step 4
We have found the following Wronskians.
W = -e-3x;
X; W₁² (2+ e*)-¹; W₂ = e(2 + e*)-1
=
We want to find functions u₁(x) and u₂(x) such that y = ₁1 +4₂₂ is a particular solution. We can find the derivatives of these functions as follows.
U₂'
W
+ ex)-1
W.
W
ex(2 + e*)-1
-3x
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Transcribed Image Text:Step 4 We have found the following Wronskians. W = -e-3x; X; W₁² (2+ e*)-¹; W₂ = e(2 + e*)-1 = We want to find functions u₁(x) and u₂(x) such that y = ₁1 +4₂₂ is a particular solution. We can find the derivatives of these functions as follows. U₂' W + ex)-1 W. W ex(2 + e*)-1 -3x Submit Skip (you cannot come back)
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