Classify the following DE's as Exact, Non-exact, Homogeneous or Bernoulli. A: (-xysinx + 2ycosx) dx + 2xcosxdy = 0, C:(y² + yx) dx -x²dy=0 dy dx B: (3x²y+endx + (x³ + xey-2y)dy = 0, D: = y(xy¹ - 1) a. A is Exact, B is Homogenous, C is Bernoulli, D is Non - Exact. b. A is Non-Exact, B is Exact, C is Homogenous, D is Bernoulli C. A is Non-Exact, B is Exact, C is Bernoulli, D is Homogenous. d. A is Exact, B is Non - Exact, C is Homogenous, D is Bernoulli. O O a b C d
Classify the following DE's as Exact, Non-exact, Homogeneous or Bernoulli. A: (-xysinx + 2ycosx) dx + 2xcosxdy = 0, C:(y² + yx) dx -x²dy=0 dy dx B: (3x²y+endx + (x³ + xey-2y)dy = 0, D: = y(xy¹ - 1) a. A is Exact, B is Homogenous, C is Bernoulli, D is Non - Exact. b. A is Non-Exact, B is Exact, C is Homogenous, D is Bernoulli C. A is Non-Exact, B is Exact, C is Bernoulli, D is Homogenous. d. A is Exact, B is Non - Exact, C is Homogenous, D is Bernoulli. O O a b C d
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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Transcribed Image Text:Classify the following DE’s as Exact, Non-exact, Homogeneous or Bernoulli.
A: \((-xysin(x) + 2\cos(x))dx + 2\cos(x)dy = 0\)
B: \((3x^2y + e^y)dx + (x^3 + xe^y - 2y)dy = 0\)
C: \((y^2 + yx)dx - x^2dy = 0\)
D: \(\frac{dy}{dx} = y(xy^4 - 1)\)
Options:
a. A is Exact, B is Homogeneous, C is Bernoulli, D is Non - Exact.
b. A is Non - Exact, B is Exact, C is Homogeneous, D is Bernoulli.
c. A is Non - Exact, B is Exact, C is Bernoulli, D is Homogeneous.
d. A is Exact, B is Non - Exact, C is Homogeneous, D is Bernoulli.
Selected answer: b
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