8) y || 3 solves y' = x²

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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In exercises 8 - 17, verify that the given function is a solution to the given differential equation.
In exercises 8-17, verify that the given
function is a solution to the given
equation.
differential
8) y = ²
3
9) y = 2e x + x − 1
ex
2
10) y = e³x
11) y
1
1- x
12) y = ex² /2
13) y = 4 + Inx
14) y = 3 − x + xlnx
15) y = 2ex - x - 1
=
solves y' = x²
16) y = ex +
17) y = ле
sinx
2
y' = cosx + y
solves y'= x - y
solves y'= 3y + ex
solves y = y²
- COS X
solves y'= xy
solves xy' = 1
solves y'=lnx
solves y'= y + x
COSX
2
solves
solves y'ysinx
Transcribed Image Text:In exercises 8-17, verify that the given function is a solution to the given equation. differential 8) y = ² 3 9) y = 2e x + x − 1 ex 2 10) y = e³x 11) y 1 1- x 12) y = ex² /2 13) y = 4 + Inx 14) y = 3 − x + xlnx 15) y = 2ex - x - 1 = solves y' = x² 16) y = ex + 17) y = ле sinx 2 y' = cosx + y solves y'= x - y solves y'= 3y + ex solves y = y² - COS X solves y'= xy solves xy' = 1 solves y'=lnx solves y'= y + x COSX 2 solves solves y'ysinx
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