Solve the given equation.. (e2x +y-1)dx dy = 0 a. b. y = Ce* + e²x + x y = Ce=x+1+e²x y = Cex +1+e²x y=Cxex+e²x C. d. e. y=Ce* +1+e-²x
Solve the given equation.. (e2x +y-1)dx dy = 0 a. b. y = Ce* + e²x + x y = Ce=x+1+e²x y = Cex +1+e²x y=Cxex+e²x C. d. e. y=Ce* +1+e-²x
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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Question
![**Solve the given equation:**
\[
(e^{2x} + y - 1)dx - dy = 0
\]
**Options:**
a. \( y = Ce^x + e^{2x} + x \)
b. \( y = Ce^{-x} + 1 + e^{2x} \)
c. \( y = Ce^x + 1 + e^{2x} \)
d. \( y = Cxe^x + e^{2x} \)
e. \( y = Ce^x + 1 + e^{-2x} \)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F92c05ba6-e775-4ea8-9e55-a6761b98c61f%2F5885e02f-0c4f-4af8-b1e2-c6f15d1b15e4%2Fh7hn5ms_processed.png&w=3840&q=75)
Transcribed Image Text:**Solve the given equation:**
\[
(e^{2x} + y - 1)dx - dy = 0
\]
**Options:**
a. \( y = Ce^x + e^{2x} + x \)
b. \( y = Ce^{-x} + 1 + e^{2x} \)
c. \( y = Ce^x + 1 + e^{2x} \)
d. \( y = Cxe^x + e^{2x} \)
e. \( y = Ce^x + 1 + e^{-2x} \)
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