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(k) x dx + y dy = 0 Oseparable exact O linear in x O linear in y (1) homogeneous Bernoulli in x Bernoulli in y Onone of the above + separable exact O linear in x O linear in y x 1² dx = (3 - In x²) dy homogeneous Bernoulli in x Bernoulli in y Onone of the above

(k) x dx + y dy = 0 Oseparable exact O linear in x O linear in y (1) homogeneous Bernoulli in x Bernoulli in y Onone of the above + separable exact O linear in x O linear in y x 1² dx = (3 - In x²) dy homogeneous Bernoulli in x Bernoulli in y Onone 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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8.5. Please help me answer the following. 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.)

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