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(i) xyy' + y² = 2x O 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) y dx + x dy = 0 O 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 O exact O linear in x 00

(i) xyy' + y² = 2x O 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) y dx + x dy = 0 O 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 O exact O linear in x 00

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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Question

3.3 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.)

(i) xyy' + y² = 2x separable exact linear in x linear in y Ⓒhomogeneous Bernoulli in x Bernoulli in y Onone of the above (1) 2xyy' + y² = 2x² separable exact linear in x linear in y Ⓒhomogeneous Bernoulli in x Bernoulli in y none of the above (k) y dx + x 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 Oseparable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above
Transcribed Image Text:(i) xyy' + y² = 2x separable exact linear in x linear in y Ⓒhomogeneous Bernoulli in x Bernoulli in y Onone of the above (1) 2xyy' + y² = 2x² separable exact linear in x linear in y Ⓒhomogeneous Bernoulli in x Bernoulli in y none of the above (k) y dx + x 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 Oseparable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above
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