Verify that the given differential equation is exact; then solve it. (21x²y³ + 4y) dx + (21x³y² + 4y + 16xy³) dy = 0 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The equation is exact and an implicit solution in the form F(x,y) = C is (Type an expression using x and y as the variables.) OB. The equation is not exact. = C, where C is an arbitrary constant.
Verify that the given differential equation is exact; then solve it. (21x²y³ + 4y) dx + (21x³y² + 4y + 16xy³) dy = 0 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The equation is exact and an implicit solution in the form F(x,y) = C is (Type an expression using x and y as the variables.) OB. The equation is not exact. = C, where C is an arbitrary constant.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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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Transcribed Image Text:Verify that the given differential equation is exact; then solve it.
4
(21x²y³ + 4y¹) dx + (21x³y² + 4y + 16xy³) dy = 0
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
di
OA. The equation is exact and an implicit solution in the form F(x,y) = C is = C, where C is an arbitrary constant.
(Type an expression using x and y as the variables.)
OB. The equation is not exact.
Transcribed Image Text:Verify that the given differential equation is exact, then solve it.
24y²
2
16y 5x² 1
√y
10x
Y
dx +
3
X
2
Y
OB. The equation is not exact.
dy = 0
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. The equation is exact and an implicit solution in the form F(x,y) = C is
(Type an expression using x and y as the variables.)
= C, where C is an arbitrary constant.
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