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у (1) — 10 ОF3 + 2(х +1)у — yinх — х + 13, х >0 OLF3 х + 1(х +1) у — x Inх — х + 21, ӕ >0 1.F3 а + 1(х + 1) у — у inx — у+21, ӕ > 0 OLF- # (х + 1) х — * Inу — a + 21, ӕ > 0

у (1) — 10 ОF3 + 2(х +1)у — yinх — х + 13, х >0 OLF3 х + 1(х +1) у — x Inх — х + 21, ӕ >0 1.F3 а + 1(х + 1) у — у inx — у+21, ӕ > 0 OLF- # (х + 1) х — * Inу — a + 21, ӕ > 0

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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Find Integrating Factor (I.F) and solve the given initial value problem: (x + 1) dy + (y – Inx) dx = 0 y (1) = 10 OI.F= x + 2(x + 1) y = y lnx x + 13, x > 0 - OI.F= x + 1(x + 1) y = x lnx – x + 21, x > 0 I.F= x + 1(x + 1) y = y Inx – y+21, x > 0 I.F= x (x + 1) x = x lny – x + 21, x > 0
Transcribed Image Text:Find Integrating Factor (I.F) and solve the given initial value problem: (x + 1) dy + (y – Inx) dx = 0 y (1) = 10 OI.F= x + 2(x + 1) y = y lnx x + 13, x > 0 - OI.F= x + 1(x + 1) y = x lnx – x + 21, x > 0 I.F= x + 1(x + 1) y = y Inx – y+21, x > 0 I.F= x (x + 1) x = x lny – x + 21, x > 0
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