Given the first order nonlinear differential equation: dy 2x dx and the initial condition y(1)=2, then the corresponding particular solution is: 3x²+1 Choose All Correct Answers Below A The given differential equation is separable. Ⓡy+- (²)√(3x²+1) + Ⓒy²=(²3)√(3x²+1) F 5 © x ² = (²/²) √/ ( 3x² + 1) + 1/1/20 3 © - 9 y³ = (²)√(3x²+1) 16 7 + 44 3 None of the given answers.
Given the first order nonlinear differential equation: dy 2x dx and the initial condition y(1)=2, then the corresponding particular solution is: 3x²+1 Choose All Correct Answers Below A The given differential equation is separable. Ⓡy+- (²)√(3x²+1) + Ⓒy²=(²3)√(3x²+1) F 5 © x ² = (²/²) √/ ( 3x² + 1) + 1/1/20 3 © - 9 y³ = (²)√(3x²+1) 16 7 + 44 3 None of the given answers.
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
Transcribed Image Text:Given the first order nonlinear differential equation:
dy
2x
dx
3x + 1
Choose All Correct Answers Below
, and the initial condition y(1)=2, then the corresponding particular solution is:
A The given differential equation is separable.
3
℗ y += ( ² ) √ √ (3x²+1) + 2²/7
15
5
© x ² = (²-²) √ √ (3x² + 1) + 1/72
D
F
9
y²³ = (²)√(3x²+1)
16
44
Ⓒx²+- (²²) √ (3x² + 1) ++ ++
=
3
None of the given answers.
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