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If roots of the auxiliary equation ofare real and equal, the general solution of the differential equation is
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If roots of the auxiliary equation ofarereal and equal, the general so...
Concept:
For different roots of the auxiliary equation, the solution (complementary function) of the differential equations is shown below.

Calculation:
Given:
⇒ (D2 + aD + b)y = 0
Auxiliary equation:
m2 + am + b = 0
Roots of the auxiliary equation are:
Given that, the roots of the auxiliary equation are real and equal.
⇒ m = -a/2   [∵ a2 - 4ab = 0]
The general solution of the differential equation is: 
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Most Upvoted Answer
If roots of the auxiliary equation ofarereal and equal, the general so...
Concept:
For different roots of the auxiliary equation, the solution (complementary function) of the differential equations is shown below.

Calculation:
Given:
⇒ (D2 + aD + b)y = 0
Auxiliary equation:
m2 + am + b = 0
Roots of the auxiliary equation are:
Given that, the roots of the auxiliary equation are real and equal.
⇒ m = -a/2   [∵ a2 - 4ab = 0]
The general solution of the differential equation is: 
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If roots of the auxiliary equation ofarereal and equal, the general solution of the differential equation isa)b)c)d)Correct answer is option 'B'. Can you explain this answer?
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If roots of the auxiliary equation ofarereal and equal, the general solution of the differential equation isa)b)c)d)Correct answer is option 'B'. Can you explain this answer? for Electrical Engineering (EE) 2025 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about If roots of the auxiliary equation ofarereal and equal, the general solution of the differential equation isa)b)c)d)Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If roots of the auxiliary equation ofarereal and equal, the general solution of the differential equation isa)b)c)d)Correct answer is option 'B'. Can you explain this answer?.
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