Maharashtra State BoardHSC Arts 12th Board Exam
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The solution of the differential equation dy/dx = sec x – y tan x is: - Mathematics and Statistics

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The solution of the differential equation dy/dx = sec x – y tan x is:

(A) y sec x = tan x + c

(B) y sec x + tan x = c

(C) sec x = y tan x + c

(D) sec x + y tan x = c

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Solution

(A)

`dy/dx+ytanx=secx`


The given equation is of the form

`dy/dx+Py=Q`

`I.f==e^(intPdx)=e^(inttanxdx)`

`=e^(log|secx|)`

=secx

Solution of the given equation is

`y.( I.F)=intQ(I.F)dx+c`

`ysecx=intsecxsecxdx+c`

ysecx=tanx+c

Concept: General and Particular Solutions of a Differential Equation
  Is there an error in this question or solution?

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