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Assess if the equations are homogeneous, then find the solution to the following differential equations. 1. х3dх — узdy%3D3ху(ydx — хӑу) 2. (x2 + y2)dx + x?dy 0 3. (x2 + 2xy - 4y²)dx – (x² – 8xy – 4y2)dy = 0

Assess if the equations are homogeneous, then find the solution to the following differential equations. 1. х3dх — узdy%3D3ху(ydx — хӑу) 2. (x2 + y2)dx + x?dy 0 3. (x2 + 2xy - 4y²)dx – (x² – 8xy – 4y2)dy = 0

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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Assess if the equations are homogeneous, then find the solution to the following differential equations. 1. х3dх — узdy%3 3ху(ydx — хӑу) 2. (x2 + y2)dx + x?dy 0 %3D 3. (x2 + 2xy – 4y²)dx – (x² – 8xy – 4y2)dy = 0
Transcribed Image Text:Assess if the equations are homogeneous, then find the solution to the following differential equations. 1. х3dх — узdy%3 3ху(ydx — хӑу) 2. (x2 + y2)dx + x?dy 0 %3D 3. (x2 + 2xy – 4y²)dx – (x² – 8xy – 4y2)dy = 0
to the following differential equations. Ans. (y+x*) = C(y² - x*) 2V3 Ans. In x + arctan Ans. x2 +4y2 = C(x+y)
Transcribed Image Text:to the following differential equations. Ans. (y+x*) = C(y² - x*) 2V3 Ans. In x + arctan Ans. x2 +4y2 = C(x+y)
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