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Class XII Maths Differential Equations 6

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Question 1

The degree and order of the differential equation of the family of all parabolas whose axis is x-axis are respectively

Question 2

The differential equation representing the family of curves y2 = , where c > 0, is a parameter, is of order and degree as follows:

Question 3

If M be the greatest value and m be the least value of f(x) = 2x3 – 3x2 – 12x + 1 for then the ordered pair (M, m) is

Question 4

The order of the differential equation whose general solution is y = C1ex + C2e2x + C3e3x + C4 where C1, C2, C3, C4, C5 are arbitrary constant, is-

Question 5

The solution of y5x + y – x = 0 is

Question 6

dx + dy = 0

Question 7

The differential equation of the family of curves represented by the equation x2 + y2 = a2 is-

Question 8

The differential equation of all parabolas that have origin as vertex and y-axis as axis of symmetry is-
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Jun 30JEE & BITSAT