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...
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no need to solve. just write everything digitally. thank you. i will upvote
![(2) = -√²)y = x³²c* ; x = 1, y=0
dx
P(x) = = = = Q(x) = x ² ex
Step 1: Integrate P(x)
SPCx) dx = S÷dx = -2 Inlxl = lr|x²| = In x^²
Step 2: Substitute it into the integrating factor
SP(x) dx
e
Inx-2
e
#
Integrate:
Yx² = ex+c
X
Yø=SØ QCxdx + c
Y x ² = S x²(x^² ex) dx + C
Step 3: Use the formula in solving the 1st ordered LiE.
Use:
Ø= espax) dx
-2
= X
+C
-Integrating factor
= e
X
2
y = x² e² + (x³²
Step 4: Substitute the given value
0 =(1) ² e ²0 +C (1) ²
(1)
(=-e
Before final answer
dy
dx
Cancel term
x= 1, y =o
Substitute -e to c
2
y=x²e² - ex²
Standard form:
+ P(x) y = Q(x)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F79319355-ead1-49f1-953d-83c4978f0e6e%2F4288d2ba-3691-4137-af60-d408f2c88a6f%2Fyjxyixf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(2) = -√²)y = x³²c* ; x = 1, y=0
dx
P(x) = = = = Q(x) = x ² ex
Step 1: Integrate P(x)
SPCx) dx = S÷dx = -2 Inlxl = lr|x²| = In x^²
Step 2: Substitute it into the integrating factor
SP(x) dx
e
Inx-2
e
#
Integrate:
Yx² = ex+c
X
Yø=SØ QCxdx + c
Y x ² = S x²(x^² ex) dx + C
Step 3: Use the formula in solving the 1st ordered LiE.
Use:
Ø= espax) dx
-2
= X
+C
-Integrating factor
= e
X
2
y = x² e² + (x³²
Step 4: Substitute the given value
0 =(1) ² e ²0 +C (1) ²
(1)
(=-e
Before final answer
dy
dx
Cancel term
x= 1, y =o
Substitute -e to c
2
y=x²e² - ex²
Standard form:
+ P(x) y = Q(x)
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