In Exercises 1-17 determine which equations are exact and solve them. 6x2y dx +4xy dy =...

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In Exercises 1-17 determine which equations are exact and solve them. 6x2y² dx +4x³y dy = 0 (3y cos x + 4xe* + 2x²ex) dx + (3 sin x + 3) dy = 0 14x2y³ dx + 21x²y² dy = 0 (2x-2y2) dx + (12y² - 4xy) dy = 0 1. 2. 3. 4. 5. 7. 8. 9. 10. 11. 12. 13. 2.5 Exercises 14. 15. (x + y)² dx + (x + y)² dy=0 6. (-2y² sin x + 3y³ −2x) dx + (4y cos x + 9xy²) dy = 0 (2x + y) dx + (2y + 2x) dy = 0 (3x2 + 2xy + 4y2) dx + (x² + 8xy + 18y) dy = 0 (2x² + 8xy + y2) dx + (2x² + xy³/3) dy = 0 (+2x) dx + ( + 2y) dy = 0 (4x+7y) dx + (3x + 4y) dy = 0 (y sin xy + xy² cos xy) dx + (x sinxy + xy² cos xy) dy = 0 y dy x dx =0 (x2 + y2)3/2 (x² + y2)3/2 (ex (x²y2 + 2xy²) + 6x) dx + (2x²ye* + 2) dy = 0 (x²x²+ (2x² + 3) + 4x) dx + (x³x²+x - 12y²) dy = 0 In Exercises 1-17 determine which equations are exact and solve them. 6x2y² dx +4x³y dy = 0 (3y cos x + 4xe* + 2x²ex) dx + (3 sin x + 3) dy = 0 14x2y³ dx + 21x²y² dy = 0 (2x-2y2) dx + (12y² - 4xy) dy = 0 1. 2. 3. 4. 5. 7. 8. 9. 10. 11. 12. 13. 2.5 Exercises 14. 15. (x + y)² dx + (x + y)² dy=0 6. (-2y² sin x + 3y³ −2x) dx + (4y cos x + 9xy²) dy = 0 (2x + y) dx + (2y + 2x) dy = 0 (3x2 + 2xy + 4y2) dx + (x² + 8xy + 18y) dy = 0 (2x² + 8xy + y2) dx + (2x² + xy³/3) dy = 0 (+2x) dx + ( + 2y) dy = 0 (4x+7y) dx + (3x + 4y) dy = 0 (y sin xy + xy² cos xy) dx + (x sinxy + xy² cos xy) dy = 0 y dy x dx =0 (x2 + y2)3/2 (x² + y2)3/2 (ex (x²y2 + 2xy²) + 6x) dx + (2x²ye* + 2) dy = 0 (x²x²+ (2x² + 3) + 4x) dx + (x³x²+x - 12y²) dy = 0