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IntegroDifferential Equation with mathematica 
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#1
Dec3011, 07:22 PM

P: 31

hi
how can i solve a system of IntegroDifferential Equations in mathematica numerically or analytically? thanks 


#2
Dec3111, 07:57 AM

P: 1,666

[tex]y'(x)=21/4 x^2+1/4\int_0^x y(t)dt,\quad y(0)=0[/tex] Now, modify for example the Euler method so that at evey time step, compute the developing integral for example at time step [itex]x_k[/itex], compute (numerically) [tex]\int_0^{x_k} y(t)dt[/tex] where the values of y(t) are obtained from the previous calculations. Then just add that part to the regular calculations for that method. Try to write a Mathematica program to implement this and see if you come out with [itex]y(x)=2x[/itex]. Get that perfected, then move on to more complicated ones. There are no builtin commands to compute IDEs in Mathematica although I'm sure the Mathematica community has written some numerical ones. 


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