Maths easy tips and formulas, Cheat Sheet of Engineering Mathematics

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2024/2025

Available from 05/24/2025

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bg1
*
LagHanges
A.E
FNN-subject
..
EM-..Course/Sem
G.3
e
C.A.E
BHAGWANT GROUP OF INSTITUTIONS
G..
Hin
Name
*
Chaxbit
method
asher
d
de
wing
AL
dg
dz
hd
t
and
in
tom
o)
,y,z
Put
the
Vdue
oj
þanta
in
dz
bdu
+4dy
Irtgvat
abovee
R
d
MUZAFFARNAGAR
(U.P.)
method
#
CE
ton
H,).PD.E
vit CC.
2
Name
of Institute
#
LPDE
wih
constant
Co
he
I Homo. LPPE
wih
C.C,
7
Nek>
(
PD.u
oy
tame ov der)
da
(4,0a,
o
b'+
...
..
+a, D")z
=foy)
int
dA
Case-
when
uett
an
meapekd
m,
is,
mg
filytm,
) +
f,ly+m)
fs(ytm,)
When
ots
aune
dij
Case-|)
when
D,
D'
both
D
and
o'au
(ommon
ator
CF
CoIespnding
to
0'2=
f
()
IL3Shn.
Date
2l22e25
)
Roll
No.
and
+ PartHcala
integsul
(Pr)
Replate.
PI
-
Da
=
fi(9)
fCo,
D')
D=a,
d'=bi
E(4,
b)
2 o
(ax+
by)
imp
formula'sted
IPr=(oa)
dude.ntiru
ca.b)
-o
cwe
oiln
f(9,b)
itfomady
ww
2sin A
Cos8
=
sin
CR
+8)
+
sin
CA-B)
2(asA
sinB
=
sin
CA
t8) -
sin
(A-8)
2 e A
CaJB
-
CosCAt
8)
+
(os(A-B)
aechmark
o
0+xf=
-*+
-'x
c'y
n
te
y
pf3
pf4

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* LagHanges

A.E

FNN-subject ..EM-..Course/Sem

G.

e

C.A.E

BHAGWANT GROUP OF INSTITUTIONS

G..

Hin

Name

* Chaxbit method

asher

d de

wing

AL

dg dz

hd t and in tom o) ,y,z Put the Vdue oj þanta in

dz bdu +4dy
Irtgvat abovee

R

d

MUZAFFARNAGAR (U.P.)

method # CE^ ton^ H,).PD.E^ vit^ CC.

2

Name of Institute

# LPDE^ wih^ constant^ Co

he I^ ’^ Homo. LPPE

wih^ C.C,^7 Nek> (^ PD.u^ oy^ tame ov^ der)

da

(4,0a, o^ b'+^ ...^ ..^ +a, D")z=foy)
int dA

Case- when uett an meapekd

m,is, mg^ filytm,^ ) +f,ly+m)^ fs(ytm,)

When ots aune dij

Case-|) when D, D' both Dand o'au (ommon ator

CF CoIespnding to 0'2= f ()

IL3Shn. Date 2l22e

)

Roll No.

and

+ PartHcala^ integsul^ (Pr)

Replate.

PI -

Da = fi(9)

fCo, D') D=a, d'=bi^ E(4,^ b)^2 o

(ax+ by)

imp formula'sted

IPr=(oa) dude.ntiru

ca.b) -o^ cwe oiln

f(9,b)

itfomady ww 2sin ACos8^ =^ sin^ CR^ +8)^ +^ sin^ CA-B) 2(asA sinB =^ sin^ CA^ t8)^ -^ sin^ (A-8) 2 e ACaJB - CosCAt 8) + (os(A-B)

aechmark

o 0+xf= -*+ -'x

c'y n te y

CF

Tybe-T N. H. L.P.DEwith CC.

Case - I

Case -I

(0-mD- a,) = e y+mx)

. (04 m,D-4)

e-m)

(o-mo-a)'z = f(ny)

PI

Paniculan intgal (Pr)

6(D,D')

D ab

Unit-

whne (^) x' dx d

ohe dimenional wave

+one dimesiona hal egh
eF Two dimeneionat Rat ea,h

jet ondiydi e

Case-1 (omteY net

yx

CF Caue- Whn^ A.E^ ha^ leal and^ olu^ hnet^

oot

tip CF^ =eGCosp*^ + Gsin^ px)

Gep

SKeWns

mehod o measwiny skewn
’ Kud beasoni stawnes
Kund betoiond coiut o skewna SK+)

" SKp= (^) Mean- Mode S,D

it

whe (^) mode= (^3) maian 2m tan " Skþ - 3Cmeah - mediah) S.D.

mean = mode A,

ü) Skp 0

Distibutin is^ tve (^) skeud

fmean). Y>oJ

muokytc

) T& dliutibut'en Lepokutsi

) Platykutie

Cwve iting ine of gm'on 'y' on'

e n cwHVe y-y)=^ by^ (M-)

>Staight linu

y=4+ bx

’ Parsboto

7 Exbohentad cunve

method o

in) Secohd

od Jeat sqas
Ey- an+ bEn -)

diges paololo

Sy= na +bEx + CEx

i) Sxbonkntia cunve
Y- A+
EY= nA+ Bs
Exy= AEX + BEx?

#Eerekadio

# Regesion

Reguesion ofiuut

bgx = hEMy- EXEY

nEn-(E)

hEy2- E)

Y= Jbyx Xby

Ia-*)= by (y-J)

> method o moment