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(1) 2xyy² + y² = 2x²² separable □ exact linear in x linear in y □ homogeneous Bernoulli in x Bernoulli in y none of the above (k) x dx + y dy = 0 O separable □ exact linear in x linear in y □ homogeneous Bernoulli in x □ Bernoulli in y Onone of the above (1) (x²+2x) dx = (3-mx2²) ay □ separable exact □ linear in x □ linear in y homogeneous Bernoulli in x □ Bernoulli in y (m) none of the above Oseparable exact O linear in x linear in y □ homogeneous Bernoulli in x Bernoulli in y Onone of the above

(1) 2xyy² + y² = 2x²² separable □ exact linear in x linear in y □ homogeneous Bernoulli in x Bernoulli in y none of the above (k) x dx + y dy = 0 O separable □ exact linear in x linear in y □ homogeneous Bernoulli in x □ Bernoulli in y Onone of the above (1) (x²+2x) dx = (3-mx2²) ay □ separable exact □ linear in x □ linear in y homogeneous Bernoulli in x □ Bernoulli in y (m) none of the above Oseparable exact O 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+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
(1) 2xy + y² = 2x² O separable O exact O linear in x D linear in y O homogeneous Bernoulli in x Bernoulli in y O none of the above (k) x dx + y dy = 0 O separable O exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y Onone of the above (1) (x² + 2x) dx = (3 - In x²) dy O separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y Onone of the above dy ==+= +1 y O separable Dexact linear in x O linear in y (m) homogeneous Bernoulli in x Bernoulli in y none of the above -e²x³ + y² = 0 (n) = x + e² Oseparable exact linear in x D linear in y homogeneous Bernoulli in x Bernoulli in y none of the above
Transcribed Image Text:(1) 2xy + y² = 2x² O separable O exact O linear in x D linear in y O homogeneous Bernoulli in x Bernoulli in y O none of the above (k) x dx + y dy = 0 O separable O exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y Onone of the above (1) (x² + 2x) dx = (3 - In x²) dy O separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y Onone of the above dy ==+= +1 y O separable Dexact linear in x O linear in y (m) homogeneous Bernoulli in x Bernoulli in y none of the above -e²x³ + y² = 0 (n) = x + e² Oseparable exact linear in x D linear in y homogeneous Bernoulli in x Bernoulli in y none of the above
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