Obtain the particular solution satisfying the initial conditions indicated. 1. dr / dt = -4rt; when t = 0, r = ro Ans. r =r, exp(-2r³) %3D

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PLATE NO. 3
Techniques in Solving Differential Equations
Part 1. Separation of Variables
Obtain the particular solution satisfying the initial conditions indicated.
1. dr / dt = -4rt; when t = 0, r = ro
Ans. r =r, exp(-21²)
2. 2xyy'=1+y²; when t = 2, y = 3
Ans. y= 5x-1
3. 2ydx = 3xdy ; when x = -2, y = 1
Ans. y = (x/ 2)²3
%3D
Transcribed Image Text:PLATE NO. 3 Techniques in Solving Differential Equations Part 1. Separation of Variables Obtain the particular solution satisfying the initial conditions indicated. 1. dr / dt = -4rt; when t = 0, r = ro Ans. r =r, exp(-21²) 2. 2xyy'=1+y²; when t = 2, y = 3 Ans. y= 5x-1 3. 2ydx = 3xdy ; when x = -2, y = 1 Ans. y = (x/ 2)²3 %3D
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