Find the general solution of the following reducible second-order differential equation. Assume x, y and/or y' positive where helpful. 7y³y" = 2

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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Find the general solution of the following reducible second-order differential equation. Assume x, y and/or y' positive where helpful.
7y³y'' = 2
Determine the general solution. Choose the correct answer below.
O A. Ay² - (AX + B)² = 2
7
O B. Ay² -
(Bx+ A) ³ = 2
7
OC. y² - 7(Ax+B)² = 2A
OD. Ay² +7(Ax+B)² = 2
Transcribed Image Text:Find the general solution of the following reducible second-order differential equation. Assume x, y and/or y' positive where helpful. 7y³y'' = 2 Determine the general solution. Choose the correct answer below. O A. Ay² - (AX + B)² = 2 7 O B. Ay² - (Bx+ A) ³ = 2 7 OC. y² - 7(Ax+B)² = 2A OD. Ay² +7(Ax+B)² = 2
Find the general solution of the following reducible second-order differential equation. Assume x, y and/or y' positive where helpful.
y" = 12 (y') ²
Determine the general solution of the differential equation. Choose the correct answer below.
O A. y(x) =
A
12
OB. y(x) = A-
In
1
12
B-X
12
1
In |12x + B|
A
O c. y(x) = 12
O D. y(x)=2¹2A - In |12(B-x)|
12(B = x)
Transcribed Image Text:Find the general solution of the following reducible second-order differential equation. Assume x, y and/or y' positive where helpful. y" = 12 (y') ² Determine the general solution of the differential equation. Choose the correct answer below. O A. y(x) = A 12 OB. y(x) = A- In 1 12 B-X 12 1 In |12x + B| A O c. y(x) = 12 O D. y(x)=2¹2A - In |12(B-x)| 12(B = x)
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,