dy 10. Let y = f(x) be a particular solution to the differential equation 1 = - with f(1) = 2. ху %3D dx A. Find at the point (1, 2). dx B. Write an equation for the line tangent to the graph of f at (1, 2) and use it to approximate f(1. 1). Is the approximation for f(1. 1) greater than or less than f (1. 1)? Explain your reasoning. C. Find the solution of the given differential equation that satisfies the initial condition f(1) = 2
dy 10. Let y = f(x) be a particular solution to the differential equation 1 = - with f(1) = 2. ху %3D dx A. Find at the point (1, 2). dx B. Write an equation for the line tangent to the graph of f at (1, 2) and use it to approximate f(1. 1). Is the approximation for f(1. 1) greater than or less than f (1. 1)? Explain your reasoning. C. Find the solution of the given differential equation that satisfies the initial condition f(1) = 2
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:dy
= f(x) be a particular solution to the differential equation
- with f(1) = 2.
ху
10. Let y
d'y
- at the point (1, 2).
dx
A. Find
B. Write an equation for the line tangent to the graph of f at (1, 2) and use it to approximate
f(1. 1). Is the approximation for f(1. 1) greater than or less than f (1. 1)? Explain your
reasoning.
C. Find the solution of the given differential equation that satisfies the initial condition
f (1) = 2
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