Exercise 2. Find the general integral of 1"- (2+a)r' +2ar-4 0 in dependence of a e R, a 2. Are there values of a 2 such that any solution of the differential equation posses an horizontal asymptote as t → -o0? Exercise 3. Given the function of two variables f(r, y) = x" find its domain. Then, find the equation of the tangent plane at (1,2, f(1,2)).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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*Find the general in tegrat of *Given the function of two variables
Exercise 2. Find the general integral of
" - (2+ a)r' + 2ar - 4 0
in dependence of a E R, a # 2. Are there values of a 2 such that any solution of the differential
equation posses an horizontal asymptote as t → -o0?
Exercise 3. Given the function of two variables
f(r, y) = x"
find its domain. Then, find the equation of the tangent plane at (1,2, f(1, 2)).
Transcribed Image Text:Exercise 2. Find the general integral of " - (2+ a)r' + 2ar - 4 0 in dependence of a E R, a # 2. Are there values of a 2 such that any solution of the differential equation posses an horizontal asymptote as t → -o0? Exercise 3. Given the function of two variables f(r, y) = x" find its domain. Then, find the equation of the tangent plane at (1,2, f(1, 2)).
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