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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Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Question
Solve ex.1
Transcribed Image Text:stant coefficient se ExercisesO Brio
HELM
ODES
1. Solve the equation x2.
dy
+x y = 1.
dx
2. Find the solution of the equation y-subject to
dx
dy
3. Find the general solution of the equation
dt
+ (tant) y = co t.
dy
4. Solve the equation
dt
+ (cot t) y = sin t.
5. The temperature 0 (measured in degrees) of a body immersed in an atmosphere of varying
de
+0.10 = 5 – 2.5t. Find the temperature at time t if 0 = 60°C
dt
%3D
%3D
temperature is given by
when t = 0.
%3D
%3D
6. In an LR circuit with applied voltage E = 10(1 – e-0-1t) the current i is given by
moo s L+Ri = 10(1 = e-0.1t).l aT gsa ni bavairios a anodsupa s
dlleniemerni eluoiheg sbnit os i ogete beose a
If the initial current is io find i subsequently. mos. olu
di
%3D
dt
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