## 195 Reputation

9 years, 186 days

Amir

## first order equation...

Maple

hi

i want to solve following equation

f(s)=a+b*s+c*s^2

with these condition

f(0)=0

f'(0)=0

f'(5)=1

thancks

## integrate in infinity...

Maple

hi,

> restart;
i:=0;

u[i](s):=A+B*s-C*exp(-s);

lambda(s,x):= -(1/2)*(s-x)^2;

tre(s,x):=lambda(s,x)*(diff(u[i...

## algorithm of integration...

Maple

hi,

i want to solve this equation :

f(n+1)(x)=f(n)(x)-int [ (s-x)^2 * ( F"(n)(s)+.5*F(n)(s) ) ds]

integration is from  -infinity  to  x

with this initial guess   f(0)(x)=A+Bx+C*exp[-x]

i want for example F(4)(x) in terms of A,B,C

and then calculate A,B and C with this condition

f(0)(4)=0

f'(0)(4)=0

f'(10)(4)=1

thancks

## solve complex boundary condition...

Maple

hi, i cant solve the following ODE and Boundary conditions in maple. please help me. i use dsolve and ode analyser but i cant receive and conclusion. thanks.

restart:
#beta:=.01;
#lambda:=.3;
s:=f(x)^2*diff(f(x),x,x)+x*f(x)*(1-2*beta)+beta*diff(f(x),x)*(x^2-1);

bcs:=f(1)=0,D(f)(-lambda)*f(-lambda)=beta*(lambda^2-1);

## problem with dsolve...

Maple

hi, in following commands what is wrong :

s define before. i sure it's error related to dsolve. i want to have f[i](x):= dsolve({s[ii], ics[ii]})

for ii from 1 to 6 do ;
ics[ii]:=f[ii](0)=0,D(f[ii])(0)=0,D(f[ii])(10)=0;
ans := dsolve({s[ii], ics[ii]}) ;
f[ii](x):=ans
od:

thanks

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