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Which of the following is a linear DE of order one in x? A. (sec² x-y)dx + (x−y)dy=0 dy_y+2y² x-3y B. dx C2X² + C3COSX + C4sinx + E c. (x-y²dx+cos3x'dy=0 D. (x-y)dx+(y-x' dy=0

Which of the following is a linear DE of order one in x? A. (sec² x-y)dx + (x−y)dy=0 dy_y+2y² x-3y B. dx C2X² + C3COSX + C4sinx + E c. (x-y²dx+cos3x'dy=0 D. (x-y)dx+(y-x' dy=0

Advanced Engineering Mathematics
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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Which of the following is a linear DE of order one in x? A. (sec² x - y)dx + (x−y)dy = 0 c. (x-y²dx+cos3x³dy=0 dy_y+2y² D. (x-y)dx +(y-x² dy=0 x-3y B. inx + 6x² D. y = C1 + C₂x² + C3COSX + C4Sinx + 6x² dx What is the orthogonal trajectory of the family of parabolas having their vertices at the origin and their foci on the y-axis? A. 2x² + y² = k² B. x²-2y² = k² C. x² + 2y² = k² D. 2x² - y² = k² Which of the following CANNOT be solved by method of un
Transcribed Image Text:Which of the following is a linear DE of order one in x? A. (sec² x - y)dx + (x−y)dy = 0 c. (x-y²dx+cos3x³dy=0 dy_y+2y² D. (x-y)dx +(y-x² dy=0 x-3y B. inx + 6x² D. y = C1 + C₂x² + C3COSX + C4Sinx + 6x² dx What is the orthogonal trajectory of the family of parabolas having their vertices at the origin and their foci on the y-axis? A. 2x² + y² = k² B. x²-2y² = k² C. x² + 2y² = k² D. 2x² - y² = k² Which of the following CANNOT be solved by method of un
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