MATLAB: Differential Equation with Coefficients as Integral Functions

integral functionsintegro-differential equationsodepdepdepe

I would like to solve a differential equation e.g. in the form: y"+f(x)y'=0 where the coefficient function can only be given as an integral and not explicitly.
Can Matlab solve differential equations of this form?

Best Answer

fun=@(x,y)[y(2);-y(2)*integral(@(z)z.^2+3*z-1,0,x)];
is a suitable function to be used with ODE45, and it represents your differential equation for
f(x) = integral_{z=0}^{z=x} (z^2+3z-1) dz
Best wishes
Torsten.
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