(i) xyy' + y² = 2x O separable O exact O linear in x linear in y O homogeneous Bernoulli in x Bernoulli in y Onone of the above (1) 2xy + y² = 2x² Oseparable exact O linear in x O linear in y homogeneous Bernoulli in x Bernoulli in y Onone of the above

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

8.4. 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.)

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