Differential Equations-2

differential equation of family of lines y=mx, where m is arbitrary constant is

• y"=0

• y=xy'

• y=x+y"

• y^'=0

Differential equation of y=mx+c, where m,c are arbitrary constant is

• y^'=0

• y^"=0

• y^'''=0

• y^'+xy"=0

Differential equation of the circles x²+y² =r² ,where r >0 is arbitrary constant is

• x-yy"=0

• x-y.y^'=0

• x+y.y^'=0

• x²+xy'=0

Differential equation of the curve y=Acosx-Bsinx, where A and B are arbitrary constant is

• y^" +xy=0

• y^"-y=0

• y^"+y=0

• y^"+x=0

Differential equation of the y=a.e^2x+b.e^-x ,where a &b are arbitrary constants, is

• y^"+y^'-2y=0

• y^"-y^"-2y=0

• y^" -y^'+2y=0

• y^" +y^'+2y=0

Differential equation representing the curve y=cx+c² where c being arbitrary constant is

• y=xy^'+(y)²

• y=xy^' +y²

• y=xy^'+(y^' )²

• y=xy+(y^')²

Differential equation of the ellipses having centre at the origin and foci on x axis is

• xy.y^"+x (y^' )²=0

• xy.y^"+x (y^' )²=y.y^'

• xy.y^" -x (y^' )²=y.y^'

• xy.y^"+x (y^' )²=y^'

Differential equation of the curve y= Acos2x+B sin2x , where A & B are constant is

• y^"+4y=0

• y^"-4y=0

• y^" -4y^'=0

• y^"+4y^'=0

Number of arbitrary constant in the general solution of a differential equation of degree 3 and order 4 is

• 3

• 4

• 0

• 4³

What is the number of arbitrary constant in a particular solution of a differential equation of order 3 and degree2?

• 2

• 3

• 3²

• 0