• Chintan L. Trada
• Harsh M. Savaliya
• Tushar J. Bhatt

Differential Equation f(D)y=R(x) where f(D)=〖(D+m)〗^2 mR and we assume that R(x) is 〖 cos〗⁡nx OR sin⁡nx where nR. The general solution of above D.E. like 〖(D+m)〗^2= cos⁡nx and 〖(D+m)〗^2=sin⁡nx is of the form G.S.= C.F.+ P.I. Where C.F. is obtain from usual way and (i) P.I.= [(2mn sin⁡nx- [n^2-m^2]cos⁡nx)/(〖(2mn)〗^2 + [n^2-m^2])] for cosine function and (ii) P.I.=-[(2mn cos⁡nx + [n^2-m^2]sin⁡nx)/(〖(2mn)〗^2 +[ n^2-m^2])] for sine function.

Differential Equation, Order & Degree of differential equation, General Solution, Particular Solution, Complementary Function, Particular Integral.

"New techniques for solving 2nd order ordinary differential equations ", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 6, page no.1021-1029, June 2019, Available :http://www.jetir.org/papers/JETIR1906G55.pdf

"New techniques for solving 2nd order ordinary differential equations ", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 6, page no. pp1021-1029, June 2019, Available at : http://www.jetir.org/papers/JETIR1906G55.pdf