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1. For each first order ODE, determine if it is separable, linear, exact or exact after using an integrating factor, homogeneous, and/or Bernoulli. Multiple labels may apply. Justify all conclusions. You do not need to solve. (a) - ²y = 0 (b) x² + 2xy = 0 (c) y² - xy = 0 (d) ay³ + ¹y+d=0 (e) = (x+y+2)²

1. For each first order ODE, determine if it is separable, linear, exact or exact after using an integrating factor, homogeneous, and/or Bernoulli. Multiple labels may apply. Justify all conclusions. You do not need to solve. (a) - ²y = 0 (b) x² + 2xy = 0 (c) y² - xy = 0 (d) ay³ + ¹y+d=0 (e) = (x+y+2)²

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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1. For each first order ODE, determine if it is separable, linear, exact or exact after using an integrating factor, homogeneous, and/or Bernoulli. Multiple labels may apply. Justify all conclusions. You do not need to solve. (a) - ²y = 0 (b) x² + 2xy = 0 (c) y² - xy = 0 (d) ay³ + ¹y+d=0 (e) = (x+y+2)²
Transcribed Image Text:1. For each first order ODE, determine if it is separable, linear, exact or exact after using an integrating factor, homogeneous, and/or Bernoulli. Multiple labels may apply. Justify all conclusions. You do not need to solve. (a) - ²y = 0 (b) x² + 2xy = 0 (c) y² - xy = 0 (d) ay³ + ¹y+d=0 (e) = (x+y+2)²
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