Are the following DEs exact? If so, solve them. 1.1 (2.ry – y sin x – sin z) da + (x² cos x + cos y) dy = 0 1.2 (x²y + sin y) dr + (rª + x cos y) dy = 0 1.3 (y sin a) dr + (sin z) dy = 0

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Conic Sections
Section8.2: More Parabolas And Some Circles
Problem 63.1PS
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Are the following DEs exact? If so, solve them.
1.1 (2ry – y sin x – sin r) dr + (x² cos x + cos y) dy = 0
1.2 (x²y + sin y) dr + (rª + x cos y) dy = 0
1.3 (y sin r) dr + (sin r) dy = 0
1.4 (y + sin y sec² x + 2x) dr + (x+ cos y tan r - 2y) dy = 0
Transcribed Image Text:Are the following DEs exact? If so, solve them. 1.1 (2ry – y sin x – sin r) dr + (x² cos x + cos y) dy = 0 1.2 (x²y + sin y) dr + (rª + x cos y) dy = 0 1.3 (y sin r) dr + (sin r) dy = 0 1.4 (y + sin y sec² x + 2x) dr + (x+ cos y tan r - 2y) dy = 0
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