Classify each differential equation as separable, exact, linear, homogeneous, or Bernoulli. Some equations may be more t
Posted: Thu May 12, 2022 2:29 pm
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 = dx X separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above = dy 8 (b) dx y- Y-X separable O exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above () (x + 1) = -y + 20 dx separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above (d) оооооооо dy 1 dx x(x - y) separable exact linear in x linear in y y homogeneous Bernoulli in x x Bernoulli in y none of the above
(e) dy - y2 + y dx separable x3 + x U exact O linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above (f) dy = 4y + y2 dx separable O exact linear in x linear in y ооооооо homogeneous Bernoulli in x Bernoulli in y O none of the above (9) y dx = (y + xy2) dy separable exact O linear in x linear in y ооооооо homogeneous Bernoulli in x Bernoulli in y O none of the above = dy (h) x = yey - x dx separable U exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y O none of the above
(1) XYy' + y2 = 2x separable exact O linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above G) 2xyy' + y2 = 2x2 separable exact linear in x linear in y homogeneous O Bernoulli in x Bernoulli in y none of the above (k) y dx + x dy = 0 separable U exact O linear in x linear in y O homogeneous Bernoulli in x Bernoulli in y O none of the above (1) (x2 + 2) dx = (3 - In x2) dy separable O exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y U none of the above
dy (m) + X X+ + 1 dx separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above (n) y dy e2x3 + x² = 0 x² dx separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above
(e) dy - y2 + y dx separable x3 + x U exact O linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above (f) dy = 4y + y2 dx separable O exact linear in x linear in y ооооооо homogeneous Bernoulli in x Bernoulli in y O none of the above (9) y dx = (y + xy2) dy separable exact O linear in x linear in y ооооооо homogeneous Bernoulli in x Bernoulli in y O none of the above = dy (h) x = yey - x dx separable U exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y O none of the above
(1) XYy' + y2 = 2x separable exact O linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above G) 2xyy' + y2 = 2x2 separable exact linear in x linear in y homogeneous O Bernoulli in x Bernoulli in y none of the above (k) y dx + x dy = 0 separable U exact O linear in x linear in y O homogeneous Bernoulli in x Bernoulli in y O none of the above (1) (x2 + 2) dx = (3 - In x2) dy separable O exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y U none of the above
dy (m) + X X+ + 1 dx separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above (n) y dy e2x3 + x² = 0 x² dx separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above