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.`y^2=a(b^2-x^2)`

Text Solution

Verified by Experts

Given,
`=>y^2=a(b^2-x^2)`
differentiating with respect to x,
`=>(2ydy)/dx=a(-2x)`
`=>2yy^'=-2ax`
`=>yy^'=-ax.......(i)`
Again differentiating with respect to x
`=>y^'y^'+yy^''=-a`
...
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    NCERT|Exercise EXERCISE 9.5|17 Videos

  • DIFFERENTIAL EQUATIONS

    NCERT|Exercise EXERCISE 9.1|12 Videos

  • DIFFERENTIAL EQUATIONS

    NCERT|Exercise SOLVED EXAMPLES|28 Videos

  • DETERMINANTS

    NCERT|Exercise EXERCISE 4.4|5 Videos

  • INTEGRALS

    NCERT|Exercise EXERCISE 7.4|25 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=ae^(3x)+be^(-2x)

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

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 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=(A)/(x)+5 , 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.