Home
Class 12
MATHS
y^(3)dx-4dy=x^(2)dy...

`y^(3)dx-4dy=x^(2)dy`

A

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

B

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

C

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

D

`y^(4)-16y=x^(3)+c`

Text Solution

Verified by Experts

The correct Answer is:
A
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

Solution of the differential equation x^(2)dy-2xydx=x^(3)y^(3)dx+x^(4)y^(2)dy is

y^(3)dx+x^(2)dy=0

(x+y)(dx-dy)=dx+dy

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

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

Which of the following is a homogeneous differential equation? (A) (4x+6y+5)dy-(3y+2x+4)dx= (B) (xy)dx-(x^(3)+y^(3))dy=0 (C) quad y^(2)dx+(x^(2)-xy-y^(2))dy=0

If y=x log((x)/(a+bx)), thenx ^(3)(d^(2)y)/(dx^(2))= (a) x(dy)/(dx)-y (b) (x(dy)/(dx)-y)^(2)y(dy)/(dx)-x(d)(y(dy)/(dx)-x)^(2)

(x^(3)+xy^(4))dx+2y^(3)dy=0

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

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