Find the differential equation whose solution is given by y² = 4ax. A. y = 2xy' B. y=xy' C. y = xy' D. y = x'y Find the differential equation whose solution is given by x² + y² = r². A. x + 2y' = 0 B. 2x + 2y = 1 C. 2x + 2y = y D. 2x + 2y y' = 0 The explicit solution for the differential equation y'= 1 + y² is A. y = sinx + c B. y =tan(x + c) C. y = cos(x + c) D. None of the above

Calculus: Early Transcendentals
8th Edition
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find the differential equation whose solution is given by y² = 4ax.
A. y = 2xy'
B. y=xy'
C. y = xy'
D. y = x'y
Find the differential equation whose solution is given by x² + y² = r².
A. x+2y' = 0
B. 2x + 2y' = 1
C. 2x + 2y = y'
D. 2x + 2y y' = 0
The explicit solution for the differential equation y' = 1+ y² is
A. y = sinx + c
B. y=tan(x + c)
C. y = cos(x + c)
D. None of the above
The implicit solution for the differential equation y' = x³y is
A. Inx = y² + c
3
B. 3lnx = y² + c
C. 3lnx = x +c
D. 3lnx = ¹x¹ + c
3
Transcribed Image Text:Find the differential equation whose solution is given by y² = 4ax. A. y = 2xy' B. y=xy' C. y = xy' D. y = x'y Find the differential equation whose solution is given by x² + y² = r². A. x+2y' = 0 B. 2x + 2y' = 1 C. 2x + 2y = y' D. 2x + 2y y' = 0 The explicit solution for the differential equation y' = 1+ y² is A. y = sinx + c B. y=tan(x + c) C. y = cos(x + c) D. None of the above The implicit solution for the differential equation y' = x³y is A. Inx = y² + c 3 B. 3lnx = y² + c C. 3lnx = x +c D. 3lnx = ¹x¹ + c 3
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