If y = y(x) is the solution of the diffe...

If y = y(x) is the solution of the differential equation, `x dy/dx+2y=x^2` satisfying y(1) = 1, then `y(1/2)` is equal to

A

`4/64`

B

`13/16`

C

`49/16`

D

`1/4`

Verified by Experts

The correct Answer is:

C

JEE 2019
CENGAGE ENGLISH|Exercise Chapter 9|6 Videos
INVERSE TRIGONOMETRIC FUNCTIONS
CENGAGE ENGLISH|Exercise Archives (Numerical Value type)|2 Videos
LIMITS
CENGAGE ENGLISH|Exercise Comprehension Type|4 Videos

Similar Questions

Explore conceptually related problems

The solution of the differential equation y(dy)/(dx)=x-1 satisfying y(1) = 1, is

If y = y(x) is the solution of the differential equation, x (dy)/(dx) + 5y = 10x^5, x > 0 satisfying y(1) = 2 then range of y(x) for x > 0 is:

The solution of the differential equation ((x+2y^3)dy)/(dx)=y is

The solution of the differential equation (dy)/(dx)=(4x+y+1)^(2) , is

If for x ge 0, y = (x) is the solution of the differential equation, (x+1)dy=((x+1)^2+y-3)dx,y(2)=0 , then y(3) is equal to ….

The solution of the differential equation, dy/dx=(x-y)^(2) , when y(1)=1, is

The solution of the differential equation x(dy)/(dx) + 2y = x^2 (X ne 0) with y(1) =1, is :

Let y = y(x) be the solution of the differential equation x dy/dx+y=xlog_ex,(xgt1)." If " 2y(2)=log_e4-1," then "y(e) is equal to

Let y(x) is the solution of the differential equation (x+2)(dy)/(dx)-(x+1)y=2 . If y(0)=-1 , then the value of y(2) is equal to

The solution of differential equation (2y+x y^3)dx+(x+x^2y^2)dy=0 is