How to solve differential equations?

Forum|Forum|16 years ago
January 9, 2010
2 replies
9622 views

Hello,

I am new with differential equations, and need to know how to solve a simple one:

EI*y''(x) = M(x)

M(x) = w*x/2

Initial conditions:

x=0, y(0) = 0

x= L/2 y'(L/2) = 0

Thank you,
Johan

Other

P

ptc-1368288

1-Visitor

On 1/9/2010 3:57:40 PM, johanpg wrote:
>Hello,
>
>I am new with differential
>equations, and need to know
>how to solve a simple one:
>
>EI*y''(x) = M(x)
>
>M(x) = w*x/2
>
>Initial conditions:
>
>x=0, y(0) = 0
>
>x= L/2 y'(L/2) = 0
>
>Thank you,
>Johan
________________________

For that one, just go by Valery solution.
If you are new to DE, and want to get in it seriously, one of the best book is:

Mathematics of Physics and Modern Engineering
I.S. SOKOLNIKOFF & R.M. REDHEFFER

I'm using the 2nd edition (1966).
Whatever Mathcad can or will do for you, must be founded. You could also purchase the Valery book about DE and Mathcad (Springer Verlag).

jmG

J

johanpg

Author

1-Visitor

Hello,

Thank you very much for your answers. I'm tryng to use the Odesolve, and I have an error (the command is in red) and a message telling me:

No "Given" found to open this solve block.

I also would like to know how to solve this simple symbolic equation not using numbers. I am using MathCad 14.

Thank you,
Johan

1_Odesolve.zip

R

RichardJ

19-Tanzanite

On 1/11/2010 10:06:15 AM, johanpg wrote:
>Hello,
>
>Thank you very much for your
>answers. I'm tryng to use the
>Odesolve, and I have an error
>(the command is in red) and a
>message telling me:
>
>No "Given" found to open this
>solve block.

The error is exactly what it says. After the assignments of EI, L and w type the keyword "Given". Perhaps you should look up solve blocks in the help.

>I also would like to know how
>to solve this simple symbolic
>equation not using numbers. I
>am using MathCad 14.

Mathcad does not do symbolic solutions of ODEs.

Richard