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15. Classify the following differential equations as separable, linear, exact, homogeneous, Bernoulli, or neither. a) b) c) d) y' + x²y = x²y³ y' - y = √√x y' = lny - ln x y' = x²y3y + 2x² - 6

15. Classify the following differential equations as separable, linear, exact, homogeneous, Bernoulli, or neither. a) b) c) d) y' + x²y = x²y³ y' - y = √√x y' = lny - ln x y' = x²y3y + 2x² - 6

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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15. Classify the following differential equations as separable, linear, exact, homogeneous, Bernoulli, or neither. y' + x²y = x²y³ y' - y = √x y' = ln y - ln x y' = x²y3y + 2x² - 6 a) b) c) d) e) f) (4x + xy2)dx + (4y + x²y)dy = 0 y' = x² + 3xy-y²
Transcribed Image Text:15. Classify the following differential equations as separable, linear, exact, homogeneous, Bernoulli, or neither. y' + x²y = x²y³ y' - y = √x y' = ln y - ln x y' = x²y3y + 2x² - 6 a) b) c) d) e) f) (4x + xy2)dx + (4y + x²y)dy = 0 y' = x² + 3xy-y²
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