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3 Report Diffrential Equations Ahmedawad

Date post: 10-Dec-2015
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linear differential equation separation of variables linear 1st orderexact reduction to exact
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i

- :trss# 3

\P - Lq --i

- _-lil'-Ll- ( -\er

{, -,g -- -,g'--llx)---t<+-)--=+4e*-

- tl- = K/T:J+-$%, U-z---l-g t(/, +q

#gt

Jt-\x/

-lAr--t- e ,b-=-0-

t

5

!

{

i--- --

____)L= =LQ.' bg txa!-- exc'-.|---

,-_ )tr =_ f ee ien +L'.)v€<

;_( x)

h_rr:_;__c_ h-(C -=-c

i .-y. As :

Ja (,:e-..b6 ---Uty- - - sty-or:*hk ry gi4s_",(

{

br4- --il:l 4. - Lx<,Ll- ns&s -(1 li fi = - p ( 5r,a{+}--- +-. =d-lu} (g)-

\g

GI, (xl

' (ol

--g '---stl9): -<: in( I rh't :--e r-.:1-g\--L-l t *;

cot ( g) t-qi'' (

---U --

--€ 1 rus-(g)- r q --c_----€-l- *oJ,gl- - C z --€1-q*($)

\b - hie4----t t, \r

x"--f*g"a.t

Az

---\a ex**--+_ _f -}=+ ;_ Lu-_*_{=\\\-=:-----= -o:_ -[_]I* = Fy_+_f _+.4

: ";-)

2-{--l+--yA- -: -g?--+--*-*-* .h,ty)

___ ::i(, * { i+x-'*r,y,, _ \t , _o_-r+ "+*h'(t)I H ' ./ ui \f X? y t

\g 92 \ r t 5 Kz x2

1, f- * #---#.+ *rf-T-GJ.-;)+i 1; "--4\l.4"

- -h t q-)- ="--J

u"x ___= {g__-t__e __

_ _l^ (sl:_- - l(;a;t| _l-, _

-+- ---=---- c- sec (X.)

\3 * iL ='S)q\\/ /\

---l- -- =- 2 X sin -$')----L-- *!.-*g;a< (

}L- -= - ---,Z-[ -r4- rz]? k4--\t " ^J ^r

.T};,- J <os(K.) tl'i,l-52',-.-lf*.f; , ;j,(r'{ .-L,r)

CA - t - ?- t-21- s,n{x1)J

l4 -=-- y cei- (vt)-t--s

---Ld-_ - )-.--o-L-(r') 4= t\ c s s (r.). /, (r/

-€ --=- _- -.+' zu * t-4 . ['(d--:-.i

---- * l* y-srufu{--r ,-.- |2 -*1s,n?\rh'{o)

]rl=xl-=c

- c -- -' 3 -e-o-s--CKl}

-f--Jx-=-.t e--4--)tl Kr

)1.,, ------ t .-----.--2*=:\x y'1

a_ls

_l_ _-__L c_crs_( t-$ ;_ l-*t.eol (ztlr(

rU - t - L;;,1(rllslr-j i ar * (e,'.,. LuxI. i, j -/'J--

.. - - In lrr, o,l.kr(c) -+-lstgl-

U^- e v -cLcl

- --\Q--=*r=sreLrq:-\1, = .hy bi-bg


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