1. We can generalize our approach to warto for any state function. Consider: f = 3x²³ - 2xy² for X₂ = 1; 9₂ = 2 x₁ = 5; yf=5 Confirm whether Af = (ff-! Af - (ff-fc).. in dx (a) Sceme by calculating fi and the difference; (b) Using the sum Af - Slot) [(of), dy + is the ff, then tatung M

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
1.
We can generalize our approach to work
for any state function. Consider :
f = 3x²³ - 2xy²
for X₂ = 1; y₂ = 2
xf = 5; y f
=S
Confirm whether Af = (ff- fc
fi).
is the
(a)
Sceme by calculating fo and ff, then tatuing
fi
the difference; (b) Using the sum
af dx
46-525) [(5), 4
(af) dy
Af
Xi
+
Transcribed Image Text:1. We can generalize our approach to work for any state function. Consider : f = 3x²³ - 2xy² for X₂ = 1; y₂ = 2 xf = 5; y f =S Confirm whether Af = (ff- fc fi). is the (a) Sceme by calculating fo and ff, then tatuing fi the difference; (b) Using the sum af dx 46-525) [(5), 4 (af) dy Af Xi +
Expert Solution
Step 1

As per the question, we will verify the above for f=3x3-2xy2.

We are given that xi=1, yi=2; xf=5, yf=5.

For (a),

We get that,

       fi=3xi3-2xiyi2   =3(1)3-2(1)(2)2   =3-8   =-5

and

      ff=3xf3-2xfyf2   =3(5)3-2(5)(5)2   =53   =125

Now, we get that f=ff-fi=125-(-5)=130.

steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,