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WTW256: LU 1.2 SEPARABLE EQUATIONS APPLICATIONS Lecture notes $2.87   Add to cart
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WTW256: LU 1.2 SEPARABLE EQUATIONS APPLICATIONS Lecture notes
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  • Course
  • WTW 256 - Differential Equations
  • Institution
  • University Of Pretoria (UP)

Lecture notes were made while watching the recorded lectures assigned to watch. These notes include theory (theorems) and worked out examples from the lecturer. These specific notes cover the application of separable equations.

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Document information

  • July 11, 2022
  • 6
  • 2021/2022
  • Class notes
  • Ms l mostert
  • All classes

Subjects

  • wtw
  • wtw256
  • 256
  • separable
  • separable applications
  • natural growth and decay
  • cooling and heating
  • fluid flowing from a container

Written for

  • University of Pretoria (UP)
  • WTW 256 - Differential Equations
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1.2 .
Separable equations
Applications
we consider first order PE
-




% fix y ) Flaky % )
=
or ◦
-
_




, ,
≥

,




[
betinitioh of
separable variables / separable ]
A 1ˢᵗ order DE of form


¥ gcxthcy )
'


:




,




if
fix ,y ) :[ gin ) ] [ hey ]
%
✗
=



,




Example

① Determine it separable
"" Y is it possible
db =

y
2×2 @ to


Ted
-0" express as function
, b
one * in ≥ and y
9
separately ?
=
@ ✗@
term

, ) ( gley)
3"
( x2 e.
=

.




✓separable ↓ ↳
hcy)
.




guy
①
% y sink o
- -
- -




,

dy → isolate
=
y①ihx
g, in
,


2 terms

☆ Not separable
↳ Has to be product

③ ( HK )
%
=
0
y
-




,


%
→ isolate
y
Fi in
,,




=a
( in )
↳
separable hey )=y
I
of Cx )
=




172C

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