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6. xy² = y³ – x³, y(1) = 2 - d.x 7. (x + ye/)dx - xe/ dy = 0, y(1) = 0

6. xy² = y³ – x³, y(1) = 2 - d.x 7. (x + ye/)dx - xe/ dy = 0, y(1) = 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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need help on problems 6 and 7

§1.5 HOMOGENEOUS EQUATIONS Determine whether the given equation is homogeneous. If it is, solve it by treating as such. 1. xdx + (y-2x)dy = 0 2. (y² + yx)dx= x²dy = 0 dy Y x 3. = + dr I Y (y + 5. (x² + xy - y²)dx + xydy = 0 dy 6. ry²- = y³x³, y(1) = 2 dx 7. (x + ye/)dx - xe/ dy = 0, y(1) = 0 4. cot)dx - xdy = 0 + x cot PROBLEM SET 1.5
Transcribed Image Text:§1.5 HOMOGENEOUS EQUATIONS Determine whether the given equation is homogeneous. If it is, solve it by treating as such. 1. xdx + (y-2x)dy = 0 2. (y² + yx)dx= x²dy = 0 dy Y x 3. = + dr I Y (y + 5. (x² + xy - y²)dx + xydy = 0 dy 6. ry²- = y³x³, y(1) = 2 dx 7. (x + ye/)dx - xe/ dy = 0, y(1) = 0 4. cot)dx - xdy = 0 + x cot PROBLEM SET 1.5
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