Home
Class 12
MATHS
Form a differential equation representi...

Form a differential equation representing the given family of curves by eliminating arbitrary constants a and b.`x/a+y/b=1`

Text Solution

Verified by Experts

Given, `(x)/(a)+(y)/(b)=1`……………..`(1)`
`implies (1)/(a)+(1)/(b)(dy)/(dx)=0`
`implies0+(1)/(b)(d^(2)y)/(dx^(2))=0=y'=0`
which is the requred differerntial equation.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    NAGEEN PRAKASHAN|Exercise Exercise 9.4|23 Videos
  • DIFFERENTIAL EQUATIONS

    NAGEEN PRAKASHAN|Exercise Exercise 9.5|17 Videos
  • DIFFERENTIAL EQUATIONS

    NAGEEN PRAKASHAN|Exercise Exercise 9.2|12 Videos
  • DETERMINANTS

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|19 Videos
  • INTEGRATION

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|44 Videos

Similar Questions

Explore conceptually related problems

Form a differential equation representing the given family of curves by eliminating arbitrary constants a and b.y=e^(2x)(a+bx)

Form a differential equation representing the given family of curves by eliminating arbitrary constants a and b.y=ex(a cos x+b sin x)

Form a differential equation representing the given family of curves by eliminating arbitrary constants a and b.y^(2)=a(b^(2)-x^(2))

Form a differential equation representing the given family of curves by eliminating arbitrary constants a and b.y=ae^(3x)+be^(-2x)

Form the differential equation representing the family of curves y=(A)/(x)+5 , by eliminating the arbitrary constant A.

Form the differential equation representing the family of curves y= A sin x , by eliminating the arbitrary constant A.

Form the differential equation representing the family of curves y=mx ,where,m is arbitrary constant.

Write the differential equation representing the family of curves y=mx, where m is an arbitrary constant.

Form the differential equation representing the family of curves (y-b)^2=4(x-a) .

Form the differential equation representing the family of curves y=a sin(x+b) where a,b are arbitrary constants.