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The differential equation representing the family of curves y2 = 2c(x + √c), where c>0, is a parameter, is of order and degree as follows
  • a)
    order 1, degree 1
  • b)
    order 1, degree 2
  • c)
    order 2, degree 2
  • d)
    order 1, degree 3
Correct answer is option 'D'. Can you explain this answer?
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The differential equation representing the family of curves y2 = 2c(x ...


Order and Degree of the Differential Equation

Family of Curves:
- The given family of curves is represented by the equation y^2 = 2c(x + √c), where c > 0 is a parameter.

Form of the Differential Equation:
- To find the differential equation representing this family of curves, we need to differentiate the given equation with respect to x.
- Differentiating y^2 = 2c(x + √c) with respect to x, we get:
2yy' = 2c
y' = c/y

Order and Degree:
- The order of a differential equation is the highest order derivative present in the equation.
- In this case, the highest order derivative is the first derivative y'.
- Therefore, the order of the differential equation is 1.

- The degree of a differential equation is the power to which the highest order derivative is raised.
- In the differential equation y' = c/y, the highest order derivative y' is raised to the power of 1.
- Therefore, the degree of the differential equation is 1.

- Hence, the correct answer is option 'D' which states that the order is 1 and the degree is 1.
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The differential equation representing the family of curves y2 = 2c(x + √c), where c>0, is a parameter, is of order and degree as followsa)order 1, degree 1b)order 1, degree 2c)order 2, degree 2d)order 1, degree 3Correct answer is option 'D'. Can you explain this answer?
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The differential equation representing the family of curves y2 = 2c(x + √c), where c>0, is a parameter, is of order and degree as followsa)order 1, degree 1b)order 1, degree 2c)order 2, degree 2d)order 1, degree 3Correct answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The differential equation representing the family of curves y2 = 2c(x + √c), where c>0, is a parameter, is of order and degree as followsa)order 1, degree 1b)order 1, degree 2c)order 2, degree 2d)order 1, degree 3Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The differential equation representing the family of curves y2 = 2c(x + √c), where c>0, is a parameter, is of order and degree as followsa)order 1, degree 1b)order 1, degree 2c)order 2, degree 2d)order 1, degree 3Correct answer is option 'D'. Can you explain this answer?.
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