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Order of differential equation for family of curves  y^{2}= 4ax where a is an an arbitrary constant will be

  • Option 1)

    1

  • Option 2)

    2

  • Option 3)

    3

  • Option 4)

    4

 

Answers (1)

best_answer

As we learnt

 

Differential Equation of order n -

 

f\left ( x,y,c_{1},c_{2},c_{3}\cdot \cdot \cdot ,c_{n} \right ) =0

where c_{1},c_{2},c_{3}\cdot \cdot \cdot c_{n} are  n arbitrary constants, we have to eliminate the n constants for which we require (n+1) equations

-

 

 Here we have only one arbitrary constant so order will be 1.

 


Option 1)

1

Option 2)

2

Option 3)

3

Option 4)

4

Posted by

Himanshu

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