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A. For each differential equation, give the dependent and independent variable(s), determine whether the equation is ordinary or partial (write ODE for ordinary DE and PDE for partial DE), linear or nonlinear (write linear or nonlinear) and give also its order and degree. Copy this table in your answer sheet before you write your answers. Note: DV: dependent variable(s), IV: Independent Variables IV Type Order Degree Linearity DV (1) (2) (3) Differential Equation dy = = sin(x + y + 2) dx x²y" - xy + e* = 0 d.x = 3- cos x Ju Ju J²u +5. = 0 ar² Ərət 21² 4 d³y dy +y=0 dr³ d.x (4) +4 (5) x

A. For each differential equation, give the dependent and independent variable(s), determine whether the equation is ordinary or partial (write ODE for ordinary DE and PDE for partial DE), linear or nonlinear (write linear or nonlinear) and give also its order and degree. Copy this table in your answer sheet before you write your answers. Note: DV: dependent variable(s), IV: Independent Variables IV Type Order Degree Linearity DV (1) (2) (3) Differential Equation dy = = sin(x + y + 2) dx x²y" - xy + e* = 0 d.x = 3- cos x Ju Ju J²u +5. = 0 ar² Ərət 21² 4 d³y dy +y=0 dr³ d.x (4) +4 (5) x

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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A. For each differential equation, give the dependent and independent variable(s), determine whether the equation is ordinary or partial (write ODE for ordinary DE and PDE for partial DE), linear or nonlinear (write linear or nonlinear) and give also its order and degree. Copy this table in your answer sheet before you write your answers. Note: DV: dependent variable(s), IV: Independent Variables IV Type Order Degree Linearity DV (1) (2) (3) Differential Equation dy = = sin(x + y + 2) dx x²y" - xy + e* = 0 d.x = 3- cos x Ju Ju J²u +5. = 0 ar² Ərət 21² 4 d³y dy +y=0 dr³ d.x (4) +4 (5) x
Transcribed Image Text:A. For each differential equation, give the dependent and independent variable(s), determine whether the equation is ordinary or partial (write ODE for ordinary DE and PDE for partial DE), linear or nonlinear (write linear or nonlinear) and give also its order and degree. Copy this table in your answer sheet before you write your answers. Note: DV: dependent variable(s), IV: Independent Variables IV Type Order Degree Linearity DV (1) (2) (3) Differential Equation dy = = sin(x + y + 2) dx x²y" - xy + e* = 0 d.x = 3- cos x Ju Ju J²u +5. = 0 ar² Ərət 21² 4 d³y dy +y=0 dr³ d.x (4) +4 (5) x
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