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

    VK JAISWAL ENGLISH|Exercise EXERCISE (COMPREHENSION TYPE PROBLEM)|7 Videos
  • DETERMINANTS

    VK JAISWAL ENGLISH|Exercise EXERCISE-4 : SUBJECTIVE TYPE PROBLEMS|12 Videos
  • ELLIPSE

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

Similar Questions

Explore conceptually related problems

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) satisfies the differential equation (dy)/(dx)+(2x)/(1+x^(2))y=(3x^(2))/(1+x^(2)) where f(1)=1 , then f(2) is equal to

Let f:[0,1] rarr R be such that f(xy)=f(x).f(y), for all x,y in [0,1] and f(0) ne 0. If y=y(x) satisfies the differential equation, dy/dx=f(x) with y(0)=1, then y(1/4)+y(3/4) is equql to

If y_(1)(x) is a solution of the differential equation (dy)/(dx)-f(x)y = 0 , then a solution of the differential equation (dy)/(dx) + f(x) y = r(x) is

Let y=f(x) is a solution of differential equation e^(y)((dy)/(dx)-1)=e^(x) and f(0)=0 then f(1) is equal to

A curve y=f(x) satisfy the differential equation (1+x^(2))(dy)/(dx)+2yx=4x^(2) and passes through the origin. The function y=f(x)

If the straight line y=x meets y=f(x) at P, where f(x) is a solution of the differential equation (dy)/(dx)=(x^(2)+xy)/(x^(2)+y^(2)) such that f(1)=3 , then the value of f'(x) at the point P is

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

If y=f(x) is the solution of differential equation , e^y((dy)/(dx)-2)=e^(3x) such that f(0)=0 , then f(2) is equal to :

Let y=f(x) be a solution of the differential equation (dy)/(dx)=(y^(2)-x^(2))/(2xy)(AA x, y gt 0) . If f(1)=2 , then f'(1) is equal to