grad (фu) —D и @ grad ф + ф grad u
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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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.
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![Let ø = p(x), u = u(x), and T = T(x) be differentiable scalar, vector, and tensor fields, where x is the position
vector. Show that
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fedadeb2e-cdac-43d1-98ad-015a8ab931d0%2Fb5d3da20-67ff-4c7b-a226-975a0fc61b37%2Fbhgv8zp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let ø = p(x), u = u(x), and T = T(x) be differentiable scalar, vector, and tensor fields, where x is the position
vector. Show that
%3D
![grad (ou) = u ® grad o + o grad u](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fedadeb2e-cdac-43d1-98ad-015a8ab931d0%2Fb5d3da20-67ff-4c7b-a226-975a0fc61b37%2Fl1t4kbf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:grad (ou) = u ® grad o + o grad u
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