Ex 9.6, 4 - Find general solution: dy/dx + (sec x) y = tan x - Solving Linear differential equations - Equation given

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  1. Chapter 9 Class 12 Differential Equations
  2. Serial order wise

Transcript

Ex 9.6, 4 For each of the differential equation given in Exercises 1 to 12, find the general solution : + sec = 0 < 2 Differential equation is of the form + Py = Q where P = sec x and Q = tan x Finding integrating factor, IF = IF = e sec IF = e sec + tan I.F = sec x + tan x Solution is y (IF) = . + y (sec x + tan x) = tan ( sec + tan ) + y (sec x + tan x) = tan sec + tan 2 + y (sec x + tan x) = sec x + ( sec 2 1) dx + c y (sec x + tan x) = sec x + x + c

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