17. The general solution of the equation (x³ + 3xy²)dx + (3x²y+y³)dy = 0 is A. (x4 + 6x²y² + y4) = C B. (8x4 + 6x³y+y³) = C C. (x³ + 6xy² + y4) = C 12 D. (x² + y²) = C dy

Calculus: Early Transcendentals
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Author:James Stewart
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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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17.
The general solution of the equation (x³ + 3xy²)dx + (3x²y + y²)dy = 0
is
A.
(x4 + 6x²y² + y4) = C
B.
(8x4 + 6x³y+y³) = C
C.
(x² + 6xy² + y4) = C
12
D. (x² + y²) = C
The solution of the differential equation 2xy = x² + 3y²
when y(1) = 3 is
dx
A. x³ +10y³ = x²
C. x² + y² = 10x³
B. x² + y² = 10x²
D. x³ - 10y³ = x²
18.
Transcribed Image Text:17. The general solution of the equation (x³ + 3xy²)dx + (3x²y + y²)dy = 0 is A. (x4 + 6x²y² + y4) = C B. (8x4 + 6x³y+y³) = C C. (x² + 6xy² + y4) = C 12 D. (x² + y²) = C The solution of the differential equation 2xy = x² + 3y² when y(1) = 3 is dx A. x³ +10y³ = x² C. x² + y² = 10x³ B. x² + y² = 10x² D. x³ - 10y³ = x² 18.
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