To solve the system of equations in MATLAB
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I'm trying to solve the following system of equation. I want solution in terms of h and t. Is it possible to find solution for this equation for 10 iterations? I don't have idea regarding this because h should be obtained in output as such. Please help me with the code for solving this.
\begin{equation}
X_i(t)=\chi_iX_{i-1}(t)+h\int_{0}^{t}\left[\frac{dX_{i-1}(x)}{dx}+\sum_{j=0}^{i-1}X_j(x)Y_{i-1-j}(x)-(1-\chi_i)\right]dx
\end{equation}
\begin{equation}
Y_i(t)=\chi_iY_{i-1}(t)+h\int_{0}^{t}\left[\frac{dY_{i-1}(x)}{dx}+\sum_{j=0}^{i-1}Z_j(x)X_{i-1-j}(x)\right]dx
\end{equation}
\begin{equation}
Z_i(t)=\chi_iZ_{i-1}(t)+h\int_{0}^{t}\left[\frac{dZ_{i-1}(x)}{dx}-aY_{i-1}(x)+\alpha Z_{i-1}(x)\right]dx
\end{equation}
where $\chi_i=0 \ for \ i\leq 1 \ and \ 1 \ for \ i>1$. $a=0.1, \ \alpha=0.5$
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/801799/image.png)
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