Solve x 2-5y = x² dx (a) y = =+ c (b) 2y = x² + cx5 (c) 2y = x² + cxª (d) None of these

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
Question 16
Solvex
dx
- 5y = x²
(a) y = =+c
(b) 2y = x² + cx³
Question 17
Find the particular solution of the equation e
wwwww
(a) y = -4e-*+c
(b) y = -4e-* +3
Question 18
Solve dy
=
dx
1+y
2+x
(a) In(1 + y) = 2x +++ c
(b) ln(1 + y) = Aln (2 + x)
Question 19
Solve dy
dx
=
x+3y
2x
(a) (x + y)² = Ax
(b) (x + y)² = Ax²
(c) 2y = x² + cxª
(d) None of these
= 4, given that at y=3, x=0.
dx
(c) y = -4e-*
(d) None of these
(c) y +² = 2x +++ c
(d) None of these
(c) (x + y)² = Ax³
(d) None of these
Question 20
In solving y - 2x2 = x(x + 1)y³, the integrating factor to be used is?
(a) x
(c) Inx
(d) None of these
Transcribed Image Text:Question 16 Solvex dx - 5y = x² (a) y = =+c (b) 2y = x² + cx³ Question 17 Find the particular solution of the equation e wwwww (a) y = -4e-*+c (b) y = -4e-* +3 Question 18 Solve dy = dx 1+y 2+x (a) In(1 + y) = 2x +++ c (b) ln(1 + y) = Aln (2 + x) Question 19 Solve dy dx = x+3y 2x (a) (x + y)² = Ax (b) (x + y)² = Ax² (c) 2y = x² + cxª (d) None of these = 4, given that at y=3, x=0. dx (c) y = -4e-* (d) None of these (c) y +² = 2x +++ c (d) None of these (c) (x + y)² = Ax³ (d) None of these Question 20 In solving y - 2x2 = x(x + 1)y³, the integrating factor to be used is? (a) x (c) Inx (d) None of these
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