In Problems 1-8, identify (do not solve) the equation as homogeneous, Bernoulli, linear coefficients, or of the form y'= G(ax + by). 1. 2tx dx + (t²- x²)dt = 0 2. (y - 4x - 1)² dx dy = 0 3. dy/dx + y/x = x³y² 4. (t + x + 2) dx + (3t - x-6)dt = 0 - 5.0 dy y de Voy de 6. (ye-2x+y³) dx - e-2x dy = 0 7. cos(x + y) dy = sin(xy) dx 8. (y³ - y²) d0 + 20²y dy = 0 - =

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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Do 5 to 8
In Problems 1-8, identify (do not solve) the equation as
homogeneous, Bernoulli, linear coefficients, or of the
form y'= G(ax + by).
1. 2tx dx + (t²- x²)dt = 0
2. (y - 4x - 1)² dx - dy = 0
3. dy/dx + y/x = x³y²
4. (t + x + 2) dx + (3t - x-6)dt = 0
5.0 dy y de Voy de
6. (ye-2x + y³) dx - e-2x dy = 0
7. cos(x + y) dy = sin(xy) dx
8. (y³ - 0y²) d0 + 20²y dy = 0
-
-
Transcribed Image Text:In Problems 1-8, identify (do not solve) the equation as homogeneous, Bernoulli, linear coefficients, or of the form y'= G(ax + by). 1. 2tx dx + (t²- x²)dt = 0 2. (y - 4x - 1)² dx - dy = 0 3. dy/dx + y/x = x³y² 4. (t + x + 2) dx + (3t - x-6)dt = 0 5.0 dy y de Voy de 6. (ye-2x + y³) dx - e-2x dy = 0 7. cos(x + y) dy = sin(xy) dx 8. (y³ - 0y²) d0 + 20²y dy = 0 - -
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