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Verify that the given differential equation is exact; then solve it. 4 (27x²y³ +y4) dx + (27x³y² + y² + 4xy³) dy=0

Verify that the given differential equation is exact; then solve it. 4 (27x²y³ +y4) dx + (27x³y² + y² + 4xy³) dy=0

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

Verify that the given differential equation is exact; then solve it. 4 (27x²y3 +y4) dx+ (27x³y² +y² + 4xy³) 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 constant. (Type an expression using x and y as the variables.) B. The equation is not exact. = C, where C is an arbitrary
Transcribed Image Text:Verify that the given differential equation is exact; then solve it. 4 (27x²y3 +y4) dx+ (27x³y² +y² + 4xy³) 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 constant. (Type an expression using x and y as the variables.) B. The equation is not exact. = C, where C is an arbitrary
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