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Department of Electronics and Communication Engineering
Applied Mathematics 11
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Question 1 : The order and degree of the differential equation Y=xdy/dx^-1(dy/dx)^2 are
Option-1 :1,2
Option-2 :2,1
Option-3 :2,2
Option-4 :1,1 .
Question 2 : The differential equation of x^2 - y^2=a^2 is
Option-1 :dy/dx=x/y
Option-2 :dy/dx= - y/x
Option-3 :dy/dx=y/x
Option-4 :dy/dx= -x/y .
Question 3 : The solution of xdx + ydy=0 is
Option-1 :x/y=c
Option-2 :x^2 - y^2=c
Option-3 :x^2 + y^2=c
Option-4 :xy=c
Question 4 : The solution of dy/dx=e^3x+y is
Option-1 :(e^3x)/3 + e^y=c
Option-2 :(e^3x)/3 - e^-y=c
Option-3 :(e^3x)/3 + e^-y=c
Option-4 :y= (e^3x+y)/y = c
Question 5 : Integrating factor of dy/dx - 3y/x=x^3sinx is
Option-1 :x
Option-2 :1/x
Option-3 :x^3
Option-4 :1/x^3
Question 6 : The solution of dy/dx+ ysinx=0 is
Option-1 :y=ce^-cosx
Option-2 :y=ce^cosx
Option-3 :y=ce^sinx
Option-4 :y=- ce^sinx .
Question 7 : The general solution of (D^2 - 2D + 1)Y=0 is
Option-1 :y=(Ax+B)e^x
Option-2 :y=(Ax + B) e^-x
Option-3 :y=Ae^x + Be^-x
Option-4 :y=Acosx + Bsinx
Question 8 : If the equation y=lamda x+a Sq.Root(1+x power 2) regarded as a quadratic in lamda will have equal roots,if x power 2+y power 2 is equal to
Option-1 :a power 2
Option-2 :-a power 2
Option-3 :0
Option-4 :None of these
Question 9 : The equation (b-c) x power 2 + (c-b) x +(a-b)=0 has
Option-1 :equal roots
Option-2 :irrational roots
Option-3 :rational roots
Option-4 :None of these
Question 10 : The roots of (x-a)(x-b)=abx power 3 are
Option-1 :real
Option-2 :depends on "a"
Option-3 :depends on "b"
Option-4 :depends on both "a" & "b"
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