Solve the initial-value problems in Exercises 15–20. 15. (y + 2) dx + y(x + 4) dy = 0, y(-3) = -1. 16. 8 cos^2 y dx + csc^2 x dy = 0, y(?/12) = ?/4. 17. (3x + 8)(y^2 + 4) dx - 4y(x^2 + 5x + 6) dy = 0, y(1) = 2. 18. (x^2 + 3y^2) dx - 2xy dy = 0, y(2) = 6. 19. (2x - 5y) dx + (4x - y) dy = 0, y(1) = 4. 20. (3x^2 + 9xy + 5y^2) dx - (6x^2 + 4xy) dy = 0, y(2) = -6.
Added by Remedios J.
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Step 1: Rewrite the given initial-value problem as \( (y^2)dx + (x+4)dy = 0 \) with \( y(-3) = -4 \). Show more…
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