Determine whether the equation is exact. If it is, then solve it. e¹(8y - 5t)dt + (7 + 8 e¹) 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(t,y) = C is = C, where C is an arbitrary constant. (Type an expression using t and y as the variables.) OB. The equation is not exact.
Determine whether the equation is exact. If it is, then solve it. e¹(8y - 5t)dt + (7 + 8 e¹) 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(t,y) = C is = C, where C is an arbitrary constant. (Type an expression using t and y as the variables.) OB. The equation is not exact.
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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![**Determine whether the equation is exact. If it is, then solve it.**
\[ e^t(8y - 5t)dt + \left(7 + 8e^t\right)dy = 0 \]
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Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
- **A.** The equation is exact and an implicit solution in the form \( F(t, y) = C \) is \(\_\_\_\_\_\_\_\_\), where \( C \) is an arbitrary constant.
- *(Type an expression using \( t \) and \( y \) as the variables.)*
- **B.** The equation is not exact.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1720cd77-2294-45a6-8b70-43447dc02920%2Fb9536bc6-ca89-4e4c-a782-1e7f59f0699a%2Fowi8uxp_processed.png&w=3840&q=75)
Transcribed Image Text:**Determine whether the equation is exact. If it is, then solve it.**
\[ e^t(8y - 5t)dt + \left(7 + 8e^t\right)dy = 0 \]
---
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
- **A.** The equation is exact and an implicit solution in the form \( F(t, y) = C \) is \(\_\_\_\_\_\_\_\_\), where \( C \) is an arbitrary constant.
- *(Type an expression using \( t \) and \( y \) as the variables.)*
- **B.** The equation is not exact.
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