## 594 Reputation

7 years, 279 days

## solve nonlinear integral equation...

Maple 2018

Hi. i have a nonlinear integral equation. any idea for solving it? tnx in advance

integral-equation.mw

## solve a nonlinear equation...

Maple

i have a nonlinear equation,W, which have two unknowns: x and b
i want to solve W for b, and the x domain is : -4e-6<x<4e-6. can anyone help? tnx in advance

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## solve integro-differential equation...

Maple

how this integro-differential equation can be solved?
any assumption or suggestion is appreciated. tnx in advance

 > restart
 > w[c]:=0.01:delta:=5:Omega:=5:w[0]:=1:gamma_0:=1:k[b]:=1:T:=100:nu[n]:=2*Pi*n*k[b]*T;
 (1)
 > F:=2*gamma_0*w[c]^2*exp(-w[c]*tau)*sin(delta/Omega*(sin(Omega*t)-sin(Omega*(t-tau)))+w[0]*tau):
 > k1:=2*k[b]*T*w[c]^2*sum((w[c]*exp(-w[c]*tau)-abs(nu[n])*exp(-abs(nu[n])*tau))/(w[c]^2-nu[n]^2),n=-infinity..infinity):
 > G:=cos(delta/Omega*(sin(Omega*t)-sin(Omega*(t-tau)))+w[0]*tau)*k1:
 > eq:=diff(rho(t),t)+Int(G*rho(tau),tau=0..t)=1/2*Int(G-F,tau=0..t);
 (2)
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## find an explicit function of two functio...

Maple

i have ode system of two dependent variables y and x  and one independent varibale time. how can i find explicit expression between y and x?

 > restart
 > sys:=diff(x(t),t)=x(t)*y(t)+t,diff(y(t),t)=x(t)-t;
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 > dsolve([sys,x(0)=0,y(0)=1],[x(t),y(t)],series)
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## an ode problem with different results in...

Maple

I have a system of six ODEs. i solve them numerically using dolve,numeric command. the problem is setting step size for example stepsize=1e-5 or minstep=500 lead to a result of order 1e-2; But without using this option, results are of order integer numbers. could any one help? tnx in advance

EDITED