Using the separation of variables technique, solve the following differential equation with initial condition: dy dx = yx + 5x x² + 1 The solution is: and y(3) = 5 D. y²-In(x²+1)+25-In10 A. OB. Inly+5)=In(x²+1) 2 C. Inly +5= arctarB+ In10 - arctarB Inly +51 = n(x²+1)+In(10) OE V=In(x²+1)+50-In10 E.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question
Using the separation of variables technique, solve the following differential equation
with initial condition:
dy
dx
=
yx + 5x
x² + 1
and y(3) = 5
The solution is:
OA ²-In(x²+1)+25-In10
A.
=
2
OB. Inly +5=In(x²+1)
C. Inly +51 = arctarB+ In10 - arctarB
2
OD. In +51 = n(x²+1)+(10)
Inly
OE V-In(x²+1)+50-In10
E.
Transcribed Image Text:Using the separation of variables technique, solve the following differential equation with initial condition: dy dx = yx + 5x x² + 1 and y(3) = 5 The solution is: OA ²-In(x²+1)+25-In10 A. = 2 OB. Inly +5=In(x²+1) C. Inly +51 = arctarB+ In10 - arctarB 2 OD. In +51 = n(x²+1)+(10) Inly OE V-In(x²+1)+50-In10 E.
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