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Can you perform a numerical integration of the function, using trapz? (OF COURSE YOU CAN.) Or you can do it more accurately using integral. Therefore, you can compute the average value of that function. No syms are needed in either case. ...
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Numerical integration in this case is the most common technique for obtaining approximate solutions. A naive approach is to use the standard techniques such as Simpson's rule for numerical integration to evaluate the integral numerically. However, since we have to use some approximation for y(x),...
I need to solve this integral which I suppose is an elliptic integral but don't know what kind, I'm not that familiar with them. Mathematica says that it...
When the solution contains integrals, they are represented with the inert Int. • By default, intsolve converts, using the differentialequation method, the linear integral equation into an equivalent ODE problem with initial values (ODE-IVP), then attempts solving this problem; if it fails, ...
Help to solve the integro-differential equation y′(x)=−ky2(x)x2∫x0t2y(t)dty′(x)=−ky2(x)x2∫0xt2y(t)dt Ask Question Asked 2 months ago Modified 1 month ago Viewed 110 times 5 I have this differential integral equation from a physics problem y′(x)=−ky2(x)x2∫x...
Volterra integral equationFourier transformsAiry functionIn this paper two collocation methods, the direct linear interpolation collocation method and the direct high order interpolation collocation method, are proposed to solve the second kind of Volterra integral equations with weakly singular highly ...