The values of A and B which make the differential equation (4²+3 lm(2y) dz + (8√ære³v + B²-2) dy = 0 exact are: A = B = 3 -8₁-0 The exact differential equation which results from that choice of A and B has solution F(x, y) = C where F(x, y) = Please write your answer with no constant term.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question
The values of A and B which make the differential equation
exact are: A =
3
(4+3 ln(29)dz + (8√3³+ B-2) dy=0
B = 3
The exact differential equation which results from that choice of A and B has solution F(x, y) = C' where
F(x, y) =
Please write your answer with no constant term.
Transcribed Image Text:The values of A and B which make the differential equation exact are: A = 3 (4+3 ln(29)dz + (8√3³+ B-2) dy=0 B = 3 The exact differential equation which results from that choice of A and B has solution F(x, y) = C' where F(x, y) = Please write your answer with no constant term.
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Follow-up Questions
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Follow-up Question
Entered
1.33333
3
(([(4/3)*
[e^(3*y)]]/[sqrt(x)])+3*In(2*y),
8*sqrt(x)*[e^(3*y)] +3*(x/y)-2)
At least one of the answers above is NOT correct.
exact are: A
The values of A and B which make the differential equation
¹-0³-0
B = 3
Answer Preview
· •
4
Please write your answer with no constant term.
3
+ 3 ln(2y), 8√√/Te³y +35
Result
correct
(4 +3 1(2y)) dx + (8√xe³ + B² − 2) dy = 0
correct
incorrect
Message
The exact differential equation which results from that choice of A and B has solution F(x, y) = C where
F(x, y) =
+3 ln(2y),8√x e³y +3-2
Your answer isn't
a formula that
returns a number
(it looks like a
formula that
returns a list of
numbers)
Transcribed Image Text:Entered 1.33333 3 (([(4/3)* [e^(3*y)]]/[sqrt(x)])+3*In(2*y), 8*sqrt(x)*[e^(3*y)] +3*(x/y)-2) At least one of the answers above is NOT correct. exact are: A The values of A and B which make the differential equation ¹-0³-0 B = 3 Answer Preview · • 4 Please write your answer with no constant term. 3 + 3 ln(2y), 8√√/Te³y +35 Result correct (4 +3 1(2y)) dx + (8√xe³ + B² − 2) dy = 0 correct incorrect Message The exact differential equation which results from that choice of A and B has solution F(x, y) = C where F(x, y) = +3 ln(2y),8√x e³y +3-2 Your answer isn't a formula that returns a number (it looks like a formula that returns a list of numbers)
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