Home
Class 12
MATHS
(dy)/(dx)=(4+y^(2))/(1+x^(2))...

`(dy)/(dx)=(4+y^(2))/(1+x^(2))`

A

`tan^(-1)((x)/(2))=2tan^(-1)y+c`

B

`tan^(-1)((y)/(c))=2tan^(-1)x+c`

C

`2tan^(-1)y=tan^(-1)x+c`

D

`tan^(-1)((y)/(2))=tan^(-1)x+c`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (PREVIOUS YEARS MHT - CET EXAM QUESTIONS)|13 Videos

  • DIFFERENTIAL EQUATIONS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|14 Videos

  • CONTINUITY F FUNCTIONS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|131 Videos

  • DIFFERENTIATION

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 11)|24 Videos

Similar Questions

Explore conceptually related problems

The family of curves represented by (dy)/(dx)=(x^(2)+x+1)/(y^(2)+y+1) and the family represented by (dy)/(dx)+(y^(2)+y+1)/(x^(2)+x+1)=0

If x^(2)+y^(2)=1 then (y'=(dy)/(dx),y''=(d^(2)y)/(dx^(2)))

(dy)/(dx)=(3x+y+4)^(2)

If y=sin(tan^(-1)2x), prove that (dy)/(dx)=(2)/((1+4x^(2))^((3)/(2)))

Solve the following differential equations: (dy)/(dx)=1+x+y+xy( ii) y-x(dy)/(dx)=a(y^(2)+(dy)/(dx))

Find (dy)/(dx) ,if y=(x^(2)+1)(x^(2)-1)

(y-x(dy)/(dx))=3(1-x^(2)(dy)/(dx))

Find the order and degree of the following differential equations. i) (dy)/(dx)+y=1/((dy)/(dx)) , ii) e^(e^(3)y)/(dx^(3))-x(d^(2)y)/(dx^(2))+y=0 , iii) sin^(-1)(dy)/(dx)=x+y , iv) log_(e)(dy)/(dx)=ax+by v) y(d^(2)y)/(dx^(2))+x((dy)/(dx))^(2)-4y(dy)/(dx)=0

(dy)/(dx)=2((y+2)^(2))/((x+y-1)^(2))

(dy)/(dx) = (4x + 3y -1)^(2)