need help on problems 6 and 7 §1.5 HOMOGENEOUS EQUATIONSDetermine whether the given equation is homogeneous. If it is, solve it by treating as such.1. xdx + (y-2x)dy = 02. (y² + yx)dx= x²dy = 0dy Y x3. = +dr I Y(y +5. (x² + xy - y²)dx + xydy = 0dy6. ry²- = y³x³, y(1) = 2dx7. (x + ye/)dx - xe/ dy = 0, y(1) = 04.cot)dx - xdy = 0+ x cotPROBLEM SET 1.5

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Answered: 6. xy² = y³ – x³, y(1) = 2 - d.x 7. (x…

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