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Verify that the given differential equation is exact; then solve it. (6x? + 3y?) dx + (6xy+ 12y²) dy = 0 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. 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. O B. The equation is not exact.

Verify that the given differential equation is exact; then solve it. (6x? + 3y?) dx + (6xy+ 12y²) dy = 0 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. 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. O B. The equation is not exact.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Verify that the given differential equation is exact; then solve it. (6x? + 3y?) dx + (6xy + 12y²) dy = 0 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. 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.) O B. The equation is not exact.
Transcribed Image Text:Verify that the given differential equation is exact; then solve it. (6x? + 3y?) dx + (6xy + 12y²) dy = 0 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. 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.) O B. The equation is not exact.
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