Home
Class 12
MATHS
if y+x(dy)/(dx)=x(phi(xy))/(phi'(xy)) th...

if `y+x(dy)/(dx)=x(phi(xy))/(phi'(xy))` then `phi(xy)` is equation to

A

`ke^(x^(2)//2)`

B

`ke^(y^(2)//2)`

C

`ke^(xy//2)`

D

`ke^(xy)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    ML KHANNA|Exercise Problem Set (1) (TRUE AND FALSE)|8 Videos
  • DIFFERENTIAL EQUATIONS

    ML KHANNA|Exercise Problem Set (1) (FILL IN THE BLANKS)|9 Videos
  • DETERMINANTS

    ML KHANNA|Exercise Self Assessment Test |19 Videos
  • DIFFERENTIATION

    ML KHANNA|Exercise MESCELLANEOUS EXERCISE|3 Videos

Similar Questions

Explore conceptually related problems

If y+x(dy)/(dx)=x(varphi(xy))/(varphi'(xy)) then varphi(xy) is equal to

(dy)/(dx)=x+xy

Let (dy)/(dx) = (y phi'(x)-y^(2))/(phi(x)) , where phi(x) is a function satisfies phi(1) = 1, phi(4) = 1296 . If y(1) = 1 then y(4) is equal to__________

(dy)/(dx)=(xy+y)/(xy+x)

Solve (dy)/(dx)=(yphi'(x)-y^(2))/(phi(x)),"where" " "phi(x) is a given function.

If the solution of the differential equation x(dy)/(dx)+y=xe^(x) be xy=phi(x)+c then phi(x) is:

If phi(x)=int(phi(x))^(-2)dx and phi(1)=0 then phi(x) is

int({f(x)phi'(x)-f'(x)phi(x)})/(f(x)phi(x)){ ln phi(x)-lnf(x)}dx is equal to

(dy)/(dx)=(y^(2)-x)/(xy+y)