What function do you know from calculus is such that its first derivative is itself? (Do not use the function f(x) = 0.) f(x) = The above function is a solution of which of the following differential equations? O y' = eY O y' = y O y' = y2 O y' = 2y O y' = 1 What function do you know from calculus is such that its first derivative is a constant multiple k of itself? (Do not use the function f(x) = 0.) f(x) = The above function is a solution of which of the following differential equations? O y' = yk O y' = ky O y' = eky O y' = y + k O y' = k

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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What function do you know from calculus is such that its first derivative is itself? (Do not use the function f(x) = 0.)
f(x) =
The above function is a solution of which of the following differential equations?
O y' = e
O y' = y
O y' = y?
O y' = 2y
O y' = 1
What function do you know from calculus is such that its first derivative is a constant multiple k of itself? (Do not use the function f(x) = 0.)
f(x) =
The above function is a solution of which of the following differential equations?
y' = yk
O y' = ky
y' = eky
O y' = y + k
O y' = k
Transcribed Image Text:What function do you know from calculus is such that its first derivative is itself? (Do not use the function f(x) = 0.) f(x) = The above function is a solution of which of the following differential equations? O y' = e O y' = y O y' = y? O y' = 2y O y' = 1 What function do you know from calculus is such that its first derivative is a constant multiple k of itself? (Do not use the function f(x) = 0.) f(x) = The above function is a solution of which of the following differential equations? y' = yk O y' = ky y' = eky O y' = y + k O y' = k
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