Definition
An gin involving one dependent variable
more
and its derivatives w.lt one
independent variably is Differential Equatio
g
41 5
4 65inn 32
22 5
N
Ent y Ey In
It is dependent on my
Types
n
of D E
n
4 Ordinary D E
A D E involving derivatives w.lt singl
independent variably is ordinary D E
Elt zag using 2En
Cii Partial D E
A D E involving at least two independe
, variably and partial derivatives with
respect to either of these variables
is called a Partial D t
34210g ayy
CI's x
Ey sing
Ey
Order and Degree of Dot
I Order's is the order of highest
order derivative
eat dog dy 2sina 3y
Order 3
I Degree The exponent of the highest
order derivative of simplified as
polynomial form of given DoE
make free from radical sign
etc dy IIs anta 3
, order 5 degree 2
i Sin Ez 322
sin 322
d4
order L degree 1
day
iii sin
Ies 319 87
Ordaz 2
is not defined
degree
since given D E Can't
simplified to polynomial
form
in dg a
3 s
Eg a dt
order 2 Degree Not defined
, a f to
Order 3 degree 2
ai n it Eat 4474347
Han
n e
Gu log
order I degree I
Ein
Formation of Diff
Let given c in
n 0
f x y Cr Ca
Ci G i Cn are arbitrary
constants
Differentiating the given Ein n
times W e t a we get n more
gins
By eliminating the arbitrary
constants a Cai ien weset
An gin involving one dependent variable
more
and its derivatives w.lt one
independent variably is Differential Equatio
g
41 5
4 65inn 32
22 5
N
Ent y Ey In
It is dependent on my
Types
n
of D E
n
4 Ordinary D E
A D E involving derivatives w.lt singl
independent variably is ordinary D E
Elt zag using 2En
Cii Partial D E
A D E involving at least two independe
, variably and partial derivatives with
respect to either of these variables
is called a Partial D t
34210g ayy
CI's x
Ey sing
Ey
Order and Degree of Dot
I Order's is the order of highest
order derivative
eat dog dy 2sina 3y
Order 3
I Degree The exponent of the highest
order derivative of simplified as
polynomial form of given DoE
make free from radical sign
etc dy IIs anta 3
, order 5 degree 2
i Sin Ez 322
sin 322
d4
order L degree 1
day
iii sin
Ies 319 87
Ordaz 2
is not defined
degree
since given D E Can't
simplified to polynomial
form
in dg a
3 s
Eg a dt
order 2 Degree Not defined
, a f to
Order 3 degree 2
ai n it Eat 4474347
Han
n e
Gu log
order I degree I
Ein
Formation of Diff
Let given c in
n 0
f x y Cr Ca
Ci G i Cn are arbitrary
constants
Differentiating the given Ein n
times W e t a we get n more
gins
By eliminating the arbitrary
constants a Cai ien weset
