20.) Obtain the particular solution for the following equation: xy2 dx + exp xdy = 0;  when x --> ∞ y -> 1/2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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20.) Obtain the particular solution for the following equation:

xy2 dx + exp xdy = 0;  when x --> ∞ y -> 1/2

21.) Obtain the particular solution for the following equation:

v(dv/dx) = g;   when x =x o v = vo

22.) Obtain the particular solution for the following equation:

dr/dt = -4rt;   when t =0 r = ro

23.) Obtain the general solution for the following equation:

2ydx =3ydx;  when x  = 2y =1 

24.) Eliminate the arbitrary constant for the following equation:

x2 y = 1+cx 

25.) Eliminate the arbitrary constant for the following equation:

y=mx + h/m ; do not eliminate h

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