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dy dx 2x = (3y + x).

dy dx 2x = (3y + x).

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 1CR
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Match the following differential equations and their general or particular solution. Show your complete step-by- step solution. DIFFERENTIAL EQUATION 2x = (3y + x) dy dx a. b. C. d. e. f. g. h. i. j. C = ln 1 x² SOLUTION y² = 2-e-x 2 s = [C(x − C₂ )] ²³ (sec (²/²) + 1/3) - C = 9y+2 y . 1 3(y-1) C = x²y² + 4x - 6y - 1 3 C = = (x² + y²)² - xy 3 (2x − 3y)6(x + y)² y³ C = s²t - tet + et x = CSC sin 4y + (4y + C)2y 2 π[² - 1 -cos y y² (₁) y = x² + + (C₁ − 1)x+ (2C₁ − 1) ln |x − 1| + C₂ 6
Transcribed Image Text:Match the following differential equations and their general or particular solution. Show your complete step-by- step solution. DIFFERENTIAL EQUATION 2x = (3y + x) dy dx a. b. C. d. e. f. g. h. i. j. C = ln 1 x² SOLUTION y² = 2-e-x 2 s = [C(x − C₂ )] ²³ (sec (²/²) + 1/3) - C = 9y+2 y . 1 3(y-1) C = x²y² + 4x - 6y - 1 3 C = = (x² + y²)² - xy 3 (2x − 3y)6(x + y)² y³ C = s²t - tet + et x = CSC sin 4y + (4y + C)2y 2 π[² - 1 -cos y y² (₁) y = x² + + (C₁ − 1)x+ (2C₁ − 1) ln |x − 1| + C₂ 6
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