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We have found the following Wronskians. W = -e-³x; W₁ =-e-2x(4+ex)-¹; W₂ = e¯x(4+ e*)-¹ We want to find functions u₁(x) and u₂(x) such that yp = U₁Y₁+U₂Y₂ is a particular solution. We can find the derivatives of these functions as follows. W ' = 2 W -e-2x(4+ ex)-1 -e-3x W. ex(4+ e*)-1

We have found the following Wronskians. W = -e-³x; W₁ =-e-2x(4+ex)-¹; W₂ = e¯x(4+ e*)-¹ We want to find functions u₁(x) and u₂(x) such that yp = U₁Y₁+U₂Y₂ is a particular solution. We can find the derivatives of these functions as follows. W ' = 2 W -e-2x(4+ ex)-1 -e-3x W. ex(4+ e*)-1

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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We have found the following Wronskians. W = -e-³x; W₁ = −e-²x(4+ex)-¹; W₂ = e¯X(4 + e*)-¹ We want to find functions u₁(x) and u₂(x) such that y₁ = U₁Y₁+U₂Y₂ is a particular solution. We can find the derivatives of these functions as follows. 4₁ = = W -e-2x(4+ e*)-¹ -e-3x W₂ W ex(4+ e*)-1 -e-3x
Transcribed Image Text:We have found the following Wronskians. W = -e-³x; W₁ = −e-²x(4+ex)-¹; W₂ = e¯X(4 + e*)-¹ We want to find functions u₁(x) and u₂(x) such that y₁ = U₁Y₁+U₂Y₂ is a particular solution. We can find the derivatives of these functions as follows. 4₁ = = W -e-2x(4+ e*)-¹ -e-3x W₂ W ex(4+ e*)-1 -e-3x
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