Home
Class 11
PHYSICS
Find the order of the D.E (2y”)/(√3)−(2y...

Find the order of the D.E `(2y”)/(√3)−(2y′)^2+y=0` .
a) 4
b) 2
c) 1
d) 3

Text Solution

Verified by Experts

The correct Answer is:
A, B
From initial frame of reference when we see the (man wheel) systm we can find that the wheel moving a speed of and the man with `(w+v/R)` after the man has started walking.
`omega^1=angualr velocity after walking)`
`omega=angular velocity of the wheel before walking)
Since `^^Ei=0`
Extended torque =0
therefore
`(I+mR^2)omega=Iomega^1=Iomega^1+mR^2(omega^1+v/R)`
`rarr (I+mR^2)omega=Iomega^1+mR^2(omega^1+v/R)`
`rarr (I+mR^2)omega-MvR`
`=(1+mR^2)omega^1`
`rarr omega^I1=((I+MR^2)omega-MvR)/(I+MR^2)`
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the degree of (y_2)^(2)-sqrt(y_1)=y^3

Find the order of the family of curves y=(c_1+c_2)e^x+c_3e^(x+c_4)

The equation of the line through the intersection of the lines 2x - 3y=0 and 4x -5y =2 and {:("Column - I","Column - II"),("(i) through the point (2, 1) is","(a)" (2x - y =4)),("(ii) perpendicular to the line" x + 2y + 1 =0 "is" , "(b)" x+y -5 =0),("(iii) parallel to the line" 3x - 4y + 5=0 "is","(c)" x-y -1 =0),("(iv) equally inclined to the axis is","(d)" 3x-4y-1 =0):}

If x=a t^2,\ \ y=2\ a t , then (d^2y)/(dx^2)= (a) -1/(t^2) (b) 1/(2\ a t^3) (c) -1/(t^3) (d) -1/(2\ a t^3)

If the distance between the plane Ax-2y+z=d and the plane containing the lines (x-1)/(2)=(y-2)/(3)=(z-3)/(4) and (x-2)/(3)=(y-3)/(4)=(z-4)/(5) is sqrt(6) , then |d| is equal to….

If y^(2)= p(x) the is polynomial of order 3, then 2(d)/(dx) [y^(3) (d^(2)y)/(dx^(2))]= ……….

If y^(2)= p(x) the is polynomial of order 3, then 2(d)/(dx) [y^(3) (d^(2)y)/(dx^(2))]= ……….

The order of the differential equation 2x^(2) (d^(2)y)/(dx^(2))-3(dy)/(dx) + y = 0 is

If the pairs of lines x^2+2x y+a y^2=0 and a x^2+2x y+y^2=0 have exactly one line in common, then the joint equation of the other two lines is given by (a) 3x^2+8x y-3y^2=0 (b) 3x^2+10 x y+3y^2=0 (c) y^2+2x y-3x^2=0 (d) x^2+2x y-3y^2=0

Find the area of the parallelogram formed by the lines 2x^2+5xy+3y^2=0 and 2x^2+5xy+3y^2+3x+4y+1=0