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(1) 2xy + y² = 2x² separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above (k) x dx + y dy = 0 separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above 2y (1) (x² + 2x) dx = (3 - In x²) dy separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above

(1) 2xy + y² = 2x² separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above (k) x dx + y dy = 0 separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above 2y (1) (x² + 2x) dx = (3 - In x²) dy separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above

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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Classify each differential equation as separable, exact, linear, homogeneous, or Bernoulli. Some equations may be more than one kind. Do not solve. (Select all that apply.)

(1) 2xyy' + y² = 2x² separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above (k) x dx + y dy = 0 ☐separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above (1) (x² + 2x) dx = = (3 - In x²) dy separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above
Transcribed Image Text:(1) 2xyy' + y² = 2x² separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above (k) x dx + y dy = 0 ☐separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above (1) (x² + 2x) dx = = (3 - In x²) dy separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above
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