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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.) (a) dyx-y separable D exact Olinear in x linear in p near y homogeneous Bernoulli in x Bernoull in y none of the above 27 dx y-x (b) Oseparable exact linear in x linear in y homogeneous Bernoulli in x Bernoull in y Onone of the above (c) (x+1)=-y+20 dx separable exact Olinear in x linear in y homogeneous Bernoulli in x Bernoull in y none of the above 1 dy (d) d dx x(x - y²) Oseparable O exact linear in x Olinear in y O homogeneous Bernoulli in x Bernoulli in y none of the above y² + y (e) = dx x² + -x Oseparable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above (f) dx = Sy + y² Oseparable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y (9) y dx = (y + xy²) dy separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y Onone of the above (h) x=yexy - x separable (h) xây exact linear in x linear in y Ohomogeneous Bernoulli in x Bernoulli in y Onone of the above 0 0 0 0 0 0 (1) xyy' + y² = 2x separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y Onone 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.) (a) dyx-y separable D exact Olinear in x linear in p near y homogeneous Bernoulli in x Bernoull in y none of the above 27 dx y-x (b) Oseparable exact linear in x linear in y homogeneous Bernoulli in x Bernoull in y Onone of the above (c) (x+1)=-y+20 dx separable exact Olinear in x linear in y homogeneous Bernoulli in x Bernoull in y none of the above 1 dy (d) d dx x(x - y²) Oseparable O exact linear in x Olinear in y O homogeneous Bernoulli in x Bernoulli in y none of the above y² + y (e) = dx x² + -x Oseparable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above (f) dx = Sy + y² Oseparable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y (9) y dx = (y + xy²) dy separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y Onone of the above (h) x=yexy - x separable (h) xây exact linear in x linear in y Ohomogeneous Bernoulli in x Bernoulli in y Onone of the above 0 0 0 0 0 0 (1) xyy' + y² = 2x separable exact linear in x linear in y 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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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 - y (a) dx X O separable exact linear in x linear in y O homogeneous Bernoulli in x Bernoulli in y none of the above dy 9 = dx Oseparable O exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y Onone of the above (c) (x + 1) = -y + 20 dx separable exact linear in x linear O homogeneous in y (b) 0 0 0 0 0 00000000 y-x Bernoulli in x Bernoulli in y none of the above dy 1 = dx x(x - y²) O separable exact linear in x linear in y O homogeneous Bernoulli in x Bernoulli in y Onone of the above dy_y² + y x² + x dx Oseparable exact U linear in x O linear in y O homogeneous Bernoulli in x Bernoulli in y Onone of the above dy (f) = 5y + y² dx Oseparable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above (d) 0 0 0 0 0 0 0 0 00000000 (e) 00000000 00000000 (g) y dx = (y + xy²) dy O separable exact linear in x O linear in y O homogeneous Bernoulli in x Bernoulli in y Onone of the above. x = yexy - x O separable dy dx exact linear in x linear in y O homogeneous Bernoulli in x Bernoulli in y Onone of the above (h) 0000000 (1) xyy' + y² = 2x O separable exact linear in x linear in y O homogeneous Bernoulli in x Bernoulli in y Onone of the above 0 0 0 0 0 0 0 0
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 - y (a) dx X O separable exact linear in x linear in y O homogeneous Bernoulli in x Bernoulli in y none of the above dy 9 = dx Oseparable O exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y Onone of the above (c) (x + 1) = -y + 20 dx separable exact linear in x linear O homogeneous in y (b) 0 0 0 0 0 00000000 y-x Bernoulli in x Bernoulli in y none of the above dy 1 = dx x(x - y²) O separable exact linear in x linear in y O homogeneous Bernoulli in x Bernoulli in y Onone of the above dy_y² + y x² + x dx Oseparable exact U linear in x O linear in y O homogeneous Bernoulli in x Bernoulli in y Onone of the above dy (f) = 5y + y² dx Oseparable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above (d) 0 0 0 0 0 0 0 0 00000000 (e) 00000000 00000000 (g) y dx = (y + xy²) dy O separable exact linear in x O linear in y O homogeneous Bernoulli in x Bernoulli in y Onone of the above. x = yexy - x O separable dy dx exact linear in x linear in y O homogeneous Bernoulli in x Bernoulli in y Onone of the above (h) 0000000 (1) xyy' + y² = 2x O separable exact linear in x linear in y O homogeneous Bernoulli in x Bernoulli in y Onone of the above 0 0 0 0 0 0 0 0
(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). separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above dx = (3 - In x²) dy (m) dy dx y separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above Y dy + 2x³ + y² x² dx separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above = (n) y d + + 1 = 0
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) 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). separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above dx = (3 - In x²) dy (m) dy dx y separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above Y dy + 2x³ + y² x² dx separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above = (n) y d + + 1 = 0
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