Misc 18 - Chapter 9 Class 12 Differential Equations

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Misc 18 The general solution of the differential equation ^ +( ^ +2 ) =0 is (A) ^ + ^2= (B) ^ + ^2= (C) ^ + ^2= (D) ^ + ^2= ^ +( ^ +2 ) =0 / = ( ( ^ + 2 ))/ / = ( ^ )/ ^ ( 2 )/ ^ / + y = ( 2 )/ Differential equation is of the form / + Py = Q where P = 1 & Q = ( 2 )/ ^ IF = ^ 1 IF = ^ 1 1 IF = ^ Solution is y(IF) = 1 ( ) + yex = 1 ( 2 )/ ^ ^ + yex = 1 2 + yex = 2 ^2/2+ yex = ^2+ yex + ^2= Option (C) is the correct answer