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The differential equation whose solution is Ax2 + By2 = 1 where A and B are arbitrary constants is of
  • a)
    second order and second degree
  • b)
    first order and second degree
  • c)
    first order and first degree
  • d)
    second order and first degree
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The differential equation whose solution is Ax2 + By2 = 1 where A and ...
 .........(1)
               ..........(2)
 ........(3)
From (2) and (3)
Dividing both sides by –B, we get
Which is a DE of order 2 and degree 1.
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Most Upvoted Answer
The differential equation whose solution is Ax2 + By2 = 1 where A and ...

Explanation:

Differential Equation Analysis:
- The given equation Ax^2 + By^2 = 1 represents an ellipse in the xy-plane.
- To find the differential equation corresponding to this ellipse, we need to differentiate the given equation with respect to x.

Differentiation:
- Differentiating Ax^2 + By^2 = 1 with respect to x, we get:
2Ax + 2By(dy/dx) = 0
- Simplifying further,
dy/dx = -Ax/By

Finding the Order and Degree:
- The order of a differential equation is determined by the highest derivative present in the equation.
- Here, the highest derivative dy/dx is a first-order derivative.
- The degree of a differential equation is determined by the highest power of the highest-order derivative.
- In this case, the derivative dy/dx is raised to the power of 1.
- Hence, the given differential equation is of the first order and first degree.

Therefore, the correct answer is option 'D' - first order and first degree.
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The differential equation whose solution is Ax2 + By2 = 1 where A and B are arbitrary constants is ofa)second order and second degreeb)first order and second degreec)first order and first degreed)second order and first degreeCorrect answer is option 'D'. Can you explain this answer?
Question Description
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