[Date Index]
[Thread Index]
[Author Index]
Re: Help DSolve
 To: mathgroup at smc.vnet.net
 Subject: [mg39173] Re: Help DSolve
 From: "J.L.Garrido" <garrido at ruth.upc.es>
 Date: Sun, 2 Feb 2003 01:13:22 0500 (EST)
 References: <b1afku$pg9$1@smc.vnet.net>
 Sender: ownerwrimathgroup at wolfram.com
En/Na gianpf ha escrit:
> I want to solve :
>
> (1+x)y''[x]2(x+2)y'[x]+4y[x) == x
>
> Could someone can find a way out for this ?
>
> Thanks.
Jean,
y1[x_] = 2x^2 + 6x + 5
y[x_]=(2x^2 + 6x + 5)*z[x]
(1+x)y''[x]2(x+2)y'[x]+4y[x]=(814x12x^24x^3)
z'[x]+(5+11x+8x^2+2x^3)z''[x]=0
z[x]=1/4 E[2x]/(5+6x+2x^2)
y2[x]=1/4 Exp[2x]
y[x]=A y1[x]+B y2[x] (homogeneous solution)
y[x]=1/2 x+1/2 (particular solution)
y[x_]=A ( 2x^2 + 6x + 5 )+1/4 B Exp[2x]+1/2 x+1/2 (general solution)
In[50]:=
(1+x)y''[x]2(x+2)y'[x]+4y[x]==x//FullSimplify
Out[50]=
True
Prev by Date:
diffrence between ver 3.01 and 4.1 regarding N[]?
Next by Date:
Re: Coordinates from an ImplicitPlot
Previous by thread:
Re: diffrence between ver 3.01 and 4.1 regarding N[]?
Next by thread:
Re: Coordinates from an ImplicitPlot
