1550078481-Ordinary_Differential_Equations__Roberts_

(jair2018) #1
The Initial Value P roblem y' = f(x, y) ; y( c) = d

3. E. y' = y^2 -4 F. y' = 4 - y^2


4
llllllllllllllllllll

2 ((((((((((((((((((((

\\\\\\\\\\\\\\\\\\\\
y(x) a H H H H H H H H H H
\\\\\\\\\\\\\\\\\\\\ HHHHHHHHHH
-2 ................................................. , .................................................................................. .......

-4 ff ff ff ff ff ff ff ff ff ff
-2 0 2 4

e


  1. G. y' = x y H. y' = - x y


(^4) I!! HI I/'-\j~H \ q I
d ~::::::::J H
I } } ~ ~;::::::~ ~ { ~ \
ll~~j~;:~~~{{{\
///////,,,,,,,--'_-//'''''' /////


\~~~;:ji1ii1^11

j 1 m""'m 11
l I H~;:n H~:H j j
\ \'./I I

2
y(x) o


  • 2
    -4


-4 -2 0 2 4

g

4
2

y(x) 0
-2

-4

5. I. y' = x 2 y2 J. y' = Y2 x 2

-4 -2 0 2 4

i

f

Ill HH~~H ~jH!! I
d H::::::::::jHz
\\\\'.~/jlll
,,,,,,\\{{{~~~~,_~~-//::::::::::/jj~~~/l /////
/////// 11 -~~-'''''''
1111ij;:~~\~~~~~\\
lll//~'.\\X\
ll

1
1uu::::::::::~::::nHI 1 I
H:~H
-4 -2 0 2 4

h

-4 -2 0 2 4

j

4 1
Free download pdf