Kb) The general solution of the differential equation rydy + (y²-1)dx=0L A. In ly²-11 + ln |z| = c B. In ²-11-In |z| = c C. In y = D. Iny = +1 +I+C y = − 1)² + c

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
C
1
Kb) The general solution of the differential equation rydy + (y²-1)dx=01
A. In ²-1| + In|z| = c B. Iny-11-In z = c C. In y = (
+1-
+x+c
72
-1)² + c
D. In y =
2
(c) The integrating factor of the first order differential equation y' + y = is
A. I
B. In z² C.
D. 2²
1²
dy
dy
(d) The particular solution y = z is for the following differential equation
= 2(y-2) + (y-2) + B. r-
I
= 2(z-y)-(y-2) +1 C. I-
dy
dr
dr
A. Idz
2(y-1)+(y-x) - D.
dy =C
dx
Transcribed Image Text:C 1 Kb) The general solution of the differential equation rydy + (y²-1)dx=01 A. In ²-1| + In|z| = c B. Iny-11-In z = c C. In y = ( +1- +x+c 72 -1)² + c D. In y = 2 (c) The integrating factor of the first order differential equation y' + y = is A. I B. In z² C. D. 2² 1² dy dy (d) The particular solution y = z is for the following differential equation = 2(y-2) + (y-2) + B. r- I = 2(z-y)-(y-2) +1 C. I- dy dr dr A. Idz 2(y-1)+(y-x) - D. dy =C dx
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