Find the particular solution of the differential equation that satisfies the initial condition(s). f'(s) = 16s - 16s, (3) = 8 Step 1 To solve the differential equation, integrate integrate both sides with respect to Step 2 Obtain the integral on both sides. 16 16 s- 16s ds = sp ( 8s -4s + C Step 3 Substitute the value for f(3) when s 3 in the expression for the function f(s). f(3) 8 8 + C 8.= 72- + C Obtain the value of C. C =
Find the particular solution of the differential equation that satisfies the initial condition(s). f'(s) = 16s - 16s, (3) = 8 Step 1 To solve the differential equation, integrate integrate both sides with respect to Step 2 Obtain the integral on both sides. 16 16 s- 16s ds = sp ( 8s -4s + C Step 3 Substitute the value for f(3) when s 3 in the expression for the function f(s). f(3) 8 8 + C 8.= 72- + C Obtain the value of C. C =
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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![Find the particular solution of the differential equation that satisfies the initial condition(s).
f'(s) = 16s - 16s, (3) = 8
Step 1
To solve the differential equation, integrate
integrate both sides with respect to
Step 2
Obtain the integral on both sides.
= sp
16
16 s - 16s
ds
8s
-4s
+ C
Step 3
Substitute the value for f(3) when s 3 in the expression for the function f(s).
f(3) = 8 8
+ C
8.= 72-
+ C
Obtain the value of C.
C =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3c7f32b8-e74c-4eab-a5df-41a31828ca24%2Fb9167d66-47e9-45a1-8097-64ada40a9539%2F9pej3j7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find the particular solution of the differential equation that satisfies the initial condition(s).
f'(s) = 16s - 16s, (3) = 8
Step 1
To solve the differential equation, integrate
integrate both sides with respect to
Step 2
Obtain the integral on both sides.
= sp
16
16 s - 16s
ds
8s
-4s
+ C
Step 3
Substitute the value for f(3) when s 3 in the expression for the function f(s).
f(3) = 8 8
+ C
8.= 72-
+ C
Obtain the value of C.
C =
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