A: true (order, degree are positive integers). B: true (definition of order). C: true (standard formula for IF). D: order is 3, degree is 3, sum =6, not 8. So D is false. E: true (definition of general solution). Correct: A, B, C, E.
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 dxdy+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:
Held on 23 Aug 2022 · Verified 13 Jul 2026.
A, B, C, D only
B, C, D only
A, B, C, E only
C, D, E only
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