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categoryرياضيات schoolبكالوريوس event_available2026-07-13

السؤال

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Homogeneous Equations Solve the following homogeneous differential equations using substitution: 9. x dx + (y-2x)dy = 0 10. (y²+ xy) dx - x² dy = 0 11. = dy y-x dx y+x Find the particular solution for the homogeneous initial-value problem using substitution: 12. xy2y=y3x3, y(1) = 2 dx - Bernoulli Equations Find the general solution to the given Bernoulli equations using an appropriate substitution: 13. y=xy4-y dy 14. +2 + y² = ty dt

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