Home
Class 12
MATHS
If y=y(x) satisfies the differential equ...

If y=y(x) satisfies the differential equation `8sqrt(x)(sqrt(9+sqrt(x)))dy=(sqrt(4+sqrt(9+sqrt(x))))^(-1)dx, x gt 0and y(0)=sqrt(7)," then "y(256)=`

A

3

B

16

C

9

D

80

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. AIEEE/JEE Main Papers|38 Videos

  • DIFFERENTIABILITY AND DIFFERENTIATION

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers |16 Videos

  • ELLIPSE

    MCGROW HILL PUBLICATION|Exercise Previous Years B-Architecture Entrance Examination Papers|6 Videos

Similar Questions

Explore conceptually related problems

If y=y(x) satisfies the differential equation 8sqrt(x)(sqrt(9+sqrt(x)))dy=(sqrt(4+sqrt(9+sqrt(x))))^(-1)dx,x>0 and y(0)=sqrt(7,) then y(256)=(A)16(B)80(C)3(D)

Differentiate : sqrt(x)+sqrt(y)=sqrt(a)

Solution of the differential equation (y+x sqrt(xy)(x+y))dx+(y sqrt(xy)(x+y)-x)dy=0 is

Solve the differential equation [(e^(-2sqrt(x)))/(sqrt(x))-(y)/(sqrt(x))](dx)/(dy)=1(x!=0)

If y= sqrt (x+ sqrt (x+ sqrt (x))),then (dy)/(dx) =

sqrt(2)x+sqrt(3)y=0sqrt(3)x-sqrt(8)y=0

Find the solution of the differential equation x sqrt(1+y^(2))dx+y sqrt(1+x^(2))dy=0

Solve the following differential equation: [(e^(-2)sqrt(x))/(sqrt(x))-(y)/(sqrt(x))](dx)/(dy)=1,x!=0

The solution of differential equation [ e^(-2sqrt(x))/(sqrt(x))-y/(sqrt(x))](dx)/(dy)=1, (x!=0) is