Choose the correct statements: A. The order and degree (if defined) of a differential equation are always positive integrals B. The order of a differential equation is the highest order derivative of the dependent variable with respect to the independent variable involved in a differential equation C. If dy/dx + P(x)y = Q(x) then Integrating factor = e^ P(x)dx D. The sum of order and degree of differential equation 1 + (y'')^5 = (y''')^3 is 8 E. If the solution of a differential equation of order n, contains n arbitrary constant, then it is called a general solution Choose the correct answer from the options given below:

Question

Option 1: A, B, C, D only

Option 2: B, C, D only

Option 3: A, B, C, E only

Option 4: C, D, E only

AfterBoards · Accepted Answer

The answer is 'A, B, C, E only'. View full solution:

List-I	List-II
Differential equation	Order and degree
(A) $(y'')^3 + (y')^4 - 6 = (y''')^2$	(I) Order = 1, Degree = 2
(B) $\sqrt{(y')^2 + 5} = y''$	(II) Order = 2, Degree = 3
(C) $(y')^2 = (2 + y'')^{3/2}$	(III) Order = 2, Degree = 2
(D) $y = xy' + \sqrt{a^2(y')^2 + b^2}$	(IV) Order = 3, Degree = 2

CUET Mathematics 2022 23 Aug Shift 1 PYQs

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