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Q1:a\ By checking all that apply, classify the following differential equations: a) order and degree b) ordinary or partial e) linear or nonlinear? (des) dx3 1) + order@x² 5 dy (2) = 0 2)(1+y) +2 dx - 13 d²y dx² + (x+3) d³ y dx³3 degree 3) x (¹ + y = 0 4) x²y" - 3xy' + 5y = 2x² lnx 5) - 4x + y² + 2xyy' = 0 dy dx3 0

Q1:a\ By checking all that apply, classify the following differential equations: a) order and degree b) ordinary or partial e) linear or nonlinear? (des) dx3 1) + order@x² 5 dy (2) = 0 2)(1+y) +2 dx - 13 d²y dx² + (x+3) d³ y dx³3 degree 3) x (¹ + y = 0 4) x²y" - 3xy' + 5y = 2x² lnx 5) - 4x + y² + 2xyy' = 0 dy dx3 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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Q1:a\ By checking all that apply, classify the following differential equations: a) order and degree b) ordinary or partial c) linear or nonlinear? 1) dx3 3) x- dx3 (d²v) + Pordertd degree y dy' dx 5 dy = 0 2)(1+y) x +2- d²y dx² d³ y dx3 + (x+3). 0 +y=0 4) x²y" - 3xy' + 5y = 2x2 Inx 5) - 4x + y² + 2xyy' = 0.
Transcribed Image Text:Q1:a\ By checking all that apply, classify the following differential equations: a) order and degree b) ordinary or partial c) linear or nonlinear? 1) dx3 3) x- dx3 (d²v) + Pordertd degree y dy' dx 5 dy = 0 2)(1+y) x +2- d²y dx² d³ y dx3 + (x+3). 0 +y=0 4) x²y" - 3xy' + 5y = 2x2 Inx 5) - 4x + y² + 2xyy' = 0.
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