hi buddy i m an eng. stdnt & giving u easy technique 2 solve this ttype of de

first consider dy/dx=D,d2y/dx2=D2 and so on

now brek the ans. into cf (complimentary function)& pi(particular integral)

ci can b cal. as follow

1st form auxillary eqn.like considering dy/dx=m now fctorize the eqn by equating it 2 0

like ur ques m3+m2-2m=0

m(m2+m-2)=0

m=0,1,2

now cf=(constt.1)eox+(constt2)e1x+(consttt.3)e2x

so ur ans. is y=cf

now try dis mthd 4 anthr de.