DIFFERENTIAL EQUATIONS
When youre g ven an equat on n the form
d need to f nd the or g nal
flx.gl
and
you
solve the equat on
funct on y f you
can
To solve t you separate the
to f nd t
terms n on
var ables by group ng the y
and the terms
the left s de w th dy to obta n
s de w th dx
n on the r ght
ntegrate both s des
flyldy flxldx.hn s de Plug
to the r ght
and add c
f nd C then solate y
any g ven po nt to
, f when 2
Solve
g
2
3 ya
fytdyfzx.de
Intyl C
c
Hafta
2
Inty 516
e
y
solve f ya when 3
fy.dy f x.at
E E c
, c c
E
equat on
7 y 25_c rcle
w th rad us 5
Solve d ytl f y 1 when 0
ftp.dy
fexd arctony
ext arctan
e
7
2 CC
1
e 1
arctony
1
yatan e
When youre g ven an equat on n the form
d need to f nd the or g nal
flx.gl
and
you
solve the equat on
funct on y f you
can
To solve t you separate the
to f nd t
terms n on
var ables by group ng the y
and the terms
the left s de w th dy to obta n
s de w th dx
n on the r ght
ntegrate both s des
flyldy flxldx.hn s de Plug
to the r ght
and add c
f nd C then solate y
any g ven po nt to
, f when 2
Solve
g
2
3 ya
fytdyfzx.de
Intyl C
c
Hafta
2
Inty 516
e
y
solve f ya when 3
fy.dy f x.at
E E c
, c c
E
equat on
7 y 25_c rcle
w th rad us 5
Solve d ytl f y 1 when 0
ftp.dy
fexd arctony
ext arctan
e
7
2 CC
1
e 1
arctony
1
yatan e
