Home
Class 12
MATHS
If y=f (x) satisfy the differential equa...

If `y=f (x)` satisfy the differential equation `(dy)/(dx) + y/x =x ^(2),f (1)=1,` then value of `f (3)` equals:

A

7

B

5

C

9

D

27

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    VK JAISWAL|Exercise EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)|6 Videos
  • DIFFERENTIAL EQUATIONS

    VK JAISWAL|Exercise EXERCISE (COMPREHENSION TYPE PROBLEM)|8 Videos
  • DETERMINANTS

    VK JAISWAL|Exercise EXERCISE-4 : SUBJECTIVE TYPE PROBLEMS|11 Videos
  • ELLIPSE

    VK JAISWAL|Exercise Exercise-4 : Subjective Type Problems|2 Videos

Similar Questions

Explore conceptually related problems

If y=f(x) satisfy differential equation ( dy )/(dx)-y=e^(x) with f(0)=1 then value of f'(0) is

A function y=f(x) satisfies the differential equation (dy)/(dx)+x^(2)y+2x=0,f(1)=1 then the value of f(1) is-

Let y=f(x) satisfy the differential equation (dy)/(dx)=(x+y)/(x),y(1)=1, then y((1)/(e)) is equal

Let f:R rarr R be a differentiable function with f(0)=0. If y=f(x) satisfies the differential equation (dy)/(dx)=(2+5y)(5y-2), then the value of (lim)_(x rarr oo)f(x) is

Let f:R to R be a differentiable function with f(0)=0 . If y=f(x) satisfies the differential equation (dy)/(dx)=(2+5y)(5y-2) , then the value of lim_(x to oo) f(x) is……………….

If y=f(x) is the solution of the differential equation (dy)/(dx)=xy-x+y-1 , y(-1)=2 ,then the value of [f(1)] ,where [] denotes GIF is