what the use of differential equation in maths and real world.
2006-12-12 17:20:03 · 4 answers · asked by gourshweta 1 in Science & Mathematics ➔ Mathematics
in solving a differential equation, the cf and particular integral are must. without finding them you cant get an answer
2006-12-13 16:18:35 · answer #1 · answered by arpita 5 · 0⤊ 0⤋
in solving a differential equation, the cf and particular integral are must. without finding them you cant get an answer.
however particular integral cant be determined when there is no constant. if there is a constant then we must be careful in finding PI.
2006-12-12 20:26:59 · answer #2 · answered by subbu 2 · 0⤊ 0⤋
we find cf and pi as both will give the solution of the differential equation... cf+pi is the solution of the differential equation..
if the right hand side is zero..,i.e.., it is homogenous equation.., then we neednot find pi i.e..,pi becomes zero..so..,then cf is the only solution...
very good question...
differential equations are quite often used in solving several problems of physics..., which is very essential for us to understand daily phenomenon
2006-12-14 00:09:34 · answer #3 · answered by bubbly 2 · 0⤊ 0⤋
(d^2y/dx^2) + 5(dy/dx) + 6y = 0 y = Aekx dy/dx = Akekx d2y/dx2 = Ak2ekx Auxiliary equation is k2 + 5k + 6 = 0 (ok + 2)(ok + 3) = 0 ok = -2 or ok = -3 Unequal genuine roots. the final answer is y = Ae(-2x) + Be(-3x) A& B are arbitrary constants
2016-11-30 12:36:28 · answer #4 · answered by binford 4 · 0⤊ 0⤋