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Exercise 2 By using the method of separable variables prove that the general solution of the ordinary differential equation is 1 3 y'=y-y²y = y(x) > 16, x ER y = y(x)= = 16ex+c x+c (e 2-1)² After characterizing the following differential equation 1 y = ± y' y 3x then prove that its general solution is ,CER. X == 3y¹y = y(x) = 0, x > 0 x²-cx3 2 -,CER.

Exercise 2 By using the method of separable variables prove that the general solution of the ordinary differential equation is 1 3 y'=y-y²y = y(x) > 16, x ER y = y(x)= = 16ex+c x+c (e 2-1)² After characterizing the following differential equation 1 y = ± y' y 3x then prove that its general solution is ,CER. X == 3y¹y = y(x) = 0, x > 0 x²-cx3 2 -,CER.

Advanced Engineering Mathematics
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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Exercise 2 By using the method of separable variables prove that the general solution of the ordinary differential equation is 1 3 y' =y-y², y = y(x) > 16, x ER 4 y = y(x): 16ex+c y = + x+c (e 2 - 1)² After characterizing the following differential equation 1 y' then prove that its general solution is X == 3xy= y = y(x) = 0, x > 0 3y' x² -,CER. Cx3 2 ,CER.
Transcribed Image Text:Exercise 2 By using the method of separable variables prove that the general solution of the ordinary differential equation is 1 3 y' =y-y², y = y(x) > 16, x ER 4 y = y(x): 16ex+c y = + x+c (e 2 - 1)² After characterizing the following differential equation 1 y' then prove that its general solution is X == 3xy= y = y(x) = 0, x > 0 3y' x² -,CER. Cx3 2 ,CER.
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