Find the differential equation of the following function(x – 2)dx + 4(x + y – 1)dy = 0a. 2(y + 1) = (x + 2y) In[C(x + 2y)]b. 2(y+ 1) = -(x+ 2y) In[C(x + 2y)]c. 2(y + 1) – (x + 2y) = ln[C(x + 2y)]d. 2(y+ 1) = (x+ 2y)+ln[C(x + 2y)]e. None of the Above%3D

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Answered: Find the differential equation of the…

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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Which one of the folowing is the Exact differential equation? (x2 + 3xy)dy+ (y³ +a²)dx = 0 3 %3D (x² +3xy)dx + (y°+ 3 x²)dy = 0 3 (x2 +3xy)dx + (y + *)dy = 0 O (x2 +3ay)dy + (y³ + a³)dx = 0 %3D difforontinl eguation ?
The solution of the differential equation (xy – y²)dx – (x² + y²)dy = 0 is : %3D A) 2 In + 1| – In | - = - Inx + c B) In + 1| – in – in|| = - In 2| -:--Inx + c = -Inx + c |3D y -Inx + C %3D C) In ( + 1)"* – In | D) 2 In – 1|– in + 2|– In|| = -Inx + c E) In + 2| – tn |2| - - Inx + c %3D y %3D y
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Find the differential equation of the following function (x – 2)dx + 4(x + y – 1)dy = 0 a. 2(y + 1) = (x + 2y) In[C(x + 2y)] b. 2(y+ 1) = -(x+ 2y) In[C(x + 2y)] c. 2(y + 1) – (x + 2y) = ln[C(x + 2y)] d. 2(y+ 1) = (x+ 2y)+ln[C(x + 2y)] e. None of the Above %3D