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4. Solve the differential equation: x(y - 1) dx + (x + 1) dy = 0. If y = 2 when x = 1. A. 1.80 B. 1.48 C. 1.55 D. 1.63

4. Solve the differential equation: x(y - 1) dx + (x + 1) dy = 0. If y = 2 when x = 1. A. 1.80 B. 1.48 C. 1.55 D. 1.63

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 33CR
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3. The equation y² = cx is general solution of: A. y' = 2y / x B. y' = 2x / y C. y'=y/2x D. y' = x/2y 4. Solve the differential equation: x(y − 1) dx + (x + 1) dy = 0. If y = 2 when x = 1. A. 1.80 B. 1.48 C. 1.55 D. 1.63 5. Solve (cox x cos y − cotx) dx - sin x sin y dy = 0 A. sin x cos y = ln (c cos x) B. sin x cos y = ln (c sin x) C. sin x cos y = -ln (c sin x) D. sin x cos y = -ln (c cos x) 6. Find the differential equation whose general solution is y = C,x + C,e¹. A. (x - 1) y" - xy' + y = 0 B. (x + 1) y" − xy + y = 0 C. (x − 1) y” + xy' + y = 0 D. (x + 1) y" + xy' + y = 0 7. Find the general solution of y' = y sec x A. y = C (sec x + tan x) B. y = C (sec x - tan x) C. y = C (sec x tan x) D. y = C (sec2 x + tan x) 8. Solve xy' (2y - 1) = y(1-x) A. ln (xy) = 2 (x−y) + C B. ln (xy) = x - 2y + C C. ln (xy) = 2y - x + C D. In (xy) = x + 2y + C
Transcribed Image Text:3. The equation y² = cx is general solution of: A. y' = 2y / x B. y' = 2x / y C. y'=y/2x D. y' = x/2y 4. Solve the differential equation: x(y − 1) dx + (x + 1) dy = 0. If y = 2 when x = 1. A. 1.80 B. 1.48 C. 1.55 D. 1.63 5. Solve (cox x cos y − cotx) dx - sin x sin y dy = 0 A. sin x cos y = ln (c cos x) B. sin x cos y = ln (c sin x) C. sin x cos y = -ln (c sin x) D. sin x cos y = -ln (c cos x) 6. Find the differential equation whose general solution is y = C,x + C,e¹. A. (x - 1) y" - xy' + y = 0 B. (x + 1) y" − xy + y = 0 C. (x − 1) y” + xy' + y = 0 D. (x + 1) y" + xy' + y = 0 7. Find the general solution of y' = y sec x A. y = C (sec x + tan x) B. y = C (sec x - tan x) C. y = C (sec x tan x) D. y = C (sec2 x + tan x) 8. Solve xy' (2y - 1) = y(1-x) A. ln (xy) = 2 (x−y) + C B. ln (xy) = x - 2y + C C. ln (xy) = 2y - x + C D. In (xy) = x + 2y + C
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