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The integrating factor of equation
- a)
- b)
- c)
- d)
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The integrating factor of equationa)b)c)d)Correct answer is option 'A'...
Concept:
The standard form of a first-order linear differential equation is,
Where P and Q are the functions of x.
Where P and Q are the functions of x.
Integrating factor, IF = e∫Pdx
Now, the solution for the above differential equation is,
y(IF) = ∫IF.Qdx + C
Where P and Q are the functions of y.
Integrating factor, IF = e∫Pdy
Now, the solution for the above differential equation is,
x(IF) = ∫IF.Qdy + C
Calculation:
Given the differential equation is
Put tan y = t
By differentiating with respect to t,
⇒ sec2 y dy = dt
Now, the given equation becomes
Now, it is in the form of a first order linear differential equation.
Integrating factor
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The integrating factor of equationa)b)c)d)Correct answer is option 'A'...
Concept:
The standard form of a first-order linear differential equation is,
Where P and Q are the functions of x.
Where P and Q are the functions of x.
Integrating factor, IF = e∫Pdx
Now, the solution for the above differential equation is,
y(IF) = ∫IF.Qdx + C
Where P and Q are the functions of y.
Integrating factor, IF = e∫Pdy
Now, the solution for the above differential equation is,
x(IF) = ∫IF.Qdy + C
Calculation:
Given the differential equation is
Put tan y = t
By differentiating with respect to t,
⇒ sec2 y dy = dt
Now, the given equation becomes
Now, it is in the form of a first order linear differential equation.
Integrating factor
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The integrating factor of equationa)b)c)d)Correct answer is option 'A'. Can you explain this answer? for Civil Engineering (CE) 2026 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The integrating factor of equationa)b)c)d)Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The integrating factor of equationa)b)c)d)Correct answer is option 'A'. Can you explain this answer?.
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