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55 separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above = 4y + y² dx separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above y dx = (y + xy²) dy separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above

55 separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above = 4y + y² dx separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above y dx = (y + xy²) 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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(e) Oseparable. exact linear in x O linear in y homogeneous Bernoulli in x Bernoulli in y Onone of the above (1) = 4y + y² dx O separable exact linear in x linear in y O homogeneous Bernoulli in x Bernoulli in y Onone of the above (9) y dx = (y + xy²) dy O separable O exact linear in x O linear in y □ homogeneous Bernoulli in x Bernoulli in y Onone of the above X = yexy - x O separable exact □ linear in x linear in y homogeneous Bernoulli in x Bernoulli in y Onone of the above (1) xyy' + y² = 2x O separable O exact O linear in x O linear in y O homogeneous Bernoulli in x Bernoulli in y none of the above
Transcribed Image Text:(e) Oseparable. exact linear in x O linear in y homogeneous Bernoulli in x Bernoulli in y Onone of the above (1) = 4y + y² dx O separable exact linear in x linear in y O homogeneous Bernoulli in x Bernoulli in y Onone of the above (9) y dx = (y + xy²) dy O separable O exact linear in x O linear in y □ homogeneous Bernoulli in x Bernoulli in y Onone of the above X = yexy - x O separable exact □ linear in x linear in y homogeneous Bernoulli in x Bernoulli in y Onone of the above (1) xyy' + y² = 2x O separable O exact O linear in x O linear in y O homogeneous Bernoulli in x Bernoulli in y none of the above
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.) dy x+x (a) dx O separable exact linear in x O linear in y □ homogeneous Bernoulli in x Bernoulli in y Onone of the above dy O separable exact linear in x O linear in y □ homogeneous Bernoulli in x Bernoulli in y O none of the above dy (c) (x+1)=-y + 5 dx O separable exact linear in x O linear in y Dhomogeneous Bernoulli in x Bernoulli in y Onone of the above dy 1 x(x - y) separable exact (b) (d) □ linear in x O linear in y O homogeneous Bernoulli in x Bernoulli in y Onone of the above
Transcribed Image Text: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.) dy x+x (a) dx O separable exact linear in x O linear in y □ homogeneous Bernoulli in x Bernoulli in y Onone of the above dy O separable exact linear in x O linear in y □ homogeneous Bernoulli in x Bernoulli in y O none of the above dy (c) (x+1)=-y + 5 dx O separable exact linear in x O linear in y Dhomogeneous Bernoulli in x Bernoulli in y Onone of the above dy 1 x(x - y) separable exact (b) (d) □ linear in x O linear in y O homogeneous Bernoulli in x Bernoulli in y Onone of the above
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