Question

find the general solution..

y'' + 4y' = sin3x

Answer 1

What method you want to prefer??

Answer 2

What are you doing @mathslover ??

Answer 3

is it applicable if we use modification?

Answer 4

Modification??

Answer 5

I was going to type something diff, u may carry on..

Answer 6

modifraction. sorry.

Answer 7

Well I don't know about this..

Do you know about method of undetermined coefficients??

Answer 8

is that a differential equation ??

Answer 9

Yes..
If you want to help then go ahead..

Answer 10

@waterineyes yes. and it's a non-homo right?
@reginald yes.

Answer 11

K i am going to type my views on it wait

Answer 12

i think that is a second linear ODE ..right ?

Answer 13

Where is @unkleRhaukus He can help you in a better way..

Answer 14

First find the general part of the solution by solving
y" + 4y = 0 ----> y" = -4y

Answer 15

@reginald yes. it is...

Answer 16

ok wait..i'll try

Answer 17

Yes it is non homogeneous but we can solve it by using that method..

Answer 18

let me confirm about the answer : y = A*sin2x + B*cos2x - (1/5)*sin3x

is this the answer ?

Answer 19

i think that's just yp

Answer 20

@reginald kk. thanks! :)
@waterineyes can you show me how? XD
@mathslover idk. that's why i'm asking here （￣□￣；）

Answer 21

hmn k ... what r u getting the general part of the solution ?

Answer 22

By solving this one :y" + 4y = 0 ----> y" = -4y ?

Answer 23

yes. the general soln.. since there are no particulars.