Is it possible to solve DE without initial conditions
(1/24)*exp(-8)-(1/12)*exp(-5)+(1/24)*exp(-2)-(1/24)*exp(-10)+(1/24)*exp(-9)+(1/24)*exp(-1)+diff(f(x), x, x, x, x, x)+d*(diff(f(x), x))+e*f(x)+a*(diff(f(x), x, x, x, x))+b*(diff(f(x), x, x, x))+c*(diff(f(x), x, x))-1/24

where, a, b, c, d, and e are constant coefficients.....

How to solve and plot DE?

eq1 := diff(f(x), `$`(x, 5))+2*(diff(f(x), `$`(x, 4)))+diff(f(x), `$`(x, 3))+diff(f(x), `$`(x, 2))+2*(diff(f(x), `$`(x, 1)))+3*f(x) = g(x)

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System of equations with boundary conditions are moving?

Also, find the values of unknown variables?

eq1 := diff(h(t), [`$`(t, nu)])+(1/4)*h(t) = 8/3*(1/(sqrt(Pi)*t^(1/2))-(3/32)*t^2+(3/16)*exp(-t)-1);

with ics h^k (0)=0 for k=0..n

How to solve this integral equation?

rho:=1/(2);

mu:=1/(2);

T:=1/(4)*(t-x)^(1/(2));

E[rho,mu](T):=Sum((T^(k))/(GAMMA(k*rho+ mu)),k=0..5);
                       
eq1 := h(t) = (8/3)*(int((t-x)^(1/2)*E[rho, mu](T)*(1/(sqrt(Pi)*x^(1/2))-(3/32)*x^2+(3/16)*exp(-x)-1), t = -1 .. 1));       

 

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