JEE Main 2009Annual, Paper 1MathematicsEasyDifferential Equations163× since 2002The differential equation which represents the family of curves y=c1ec2x,y = {c_1}{e^{{c_2}x}},y=c1ec2x, where c1{c_1}c1 , and c2{c_2}c2 are arbitrary constants, isAOption A. y′′=y′yy'' = y'yy′′=y′yBOption B. yy′′=y′yy'' = y'yy′′=y′COption C. yy′′=(y′)2yy'' = {\left( {y'} \right)^2}yy′′=(y′)2DOption D. y′=y2y' = {y^2}y′=y2CheckSkip · show solution
