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W = -e-³x; W₁ = −e-²x(4+ ex)-¹; W₂ = ex(4+ ex)-¹ want to find functions u₁(x) and u₂(x) such that yp = U₁Y₁ + U₂y2 is a particular solution. We can find the de W₁ W = 11 -e-2x(4+ ex)-1 -e-3x et (4+ e*)

W = -e-³x; W₁ = −e-²x(4+ ex)-¹; W₂ = ex(4+ ex)-¹ want to find functions u₁(x) and u₂(x) such that yp = U₁Y₁ + U₂y2 is a particular solution. We can find the de W₁ W = 11 -e-2x(4+ ex)-1 -e-3x et (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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We have found the following Wronskians. W = −e-³x; W₁ = −e¯²×(4 + e*)−¹; W₂ = e¯×(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. W₁ W "₁" 4₂ = = = -e-2x(4+ex)-1 -e-3x et (4+ e*) W₂ W ex(4+ex)-1 -3x -e e2x (4+et) X
Transcribed Image Text:We have found the following Wronskians. W = −e-³x; W₁ = −e¯²×(4 + e*)−¹; W₂ = e¯×(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. W₁ W "₁" 4₂ = = = -e-2x(4+ex)-1 -e-3x et (4+ e*) W₂ W ex(4+ex)-1 -3x -e e2x (4+et) X
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