4. Suppose that F(t) is a differentiable function of one variable. Define the function z(x, y) = e'F (e for {(x, y) E R², y # 0}. Show that TZg + yzy = yz.
4. Suppose that F(t) is a differentiable function of one variable. Define the function z(x, y) = e'F (e for {(x, y) E R², y # 0}. Show that TZg + yzy = yz.
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:4. Suppose that F(t) is a differentiable function of one variable. Define the function
z(x, y) = e'F (e
for {(r, y) E R², y + 0}. Show that
TZg + yzy = yz.
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