How to write an equation with time dependent parameters in MATLAB?

Hello, I'm quite new to MATLAB and I'm having a problem when trying to solve the equation r1 for the case when X1 and X2 vary with time. The equation of r1 is

r1 (tn+1)-r1 (tn )=C1+d11 X1(tn)+d11 X2(tn).

Where n=1,2,3……

And the given initial condition is r1(t0)=m.

Where X1 and X2 are vectors defined by the set of data points given. Please help me to write this equation in MATLAB with tn.

clear all; close all; clc;
c1=1;
d11=-0.0167
d12=-3.8358
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    8293.43 8260.55 8303.06 8299.15 8360.77 8329.79 8240.11 8230.51 8259.6 8197.68 8188.38 8183.48 8196.92 8166.36 8198.73 8164.93 8170.27 8147.03 8223 8138.94 8156.16 8164.39 8155.72 8178.98 8180.28 8190.69 8154.97 8193.14 8184.99 8172.17 8130.69 8142.55 8144.31 8115.72 8048.83 8075.45 8071.34 8064.61 8101.05 8090.44 8102.85 8126.25 8105.01 8092.98 8078.35 8087.25 8096.54 8073.06 8105.47 8121.79 8119.24 8101.02 8096.27 8079.21 8076.95 8089.91 8113.59 8098.24 8126.3 8169.81 8175.77 8134.34 8119.94 8136.28 8101.22 8150.51 8192.13 8179.82 8132.55 8133.62 8165.13 8183.43 8161.3 8179.33 8184.36 8154.11 8212.01 8205.37 8239.04 8146.78 8149.4 8168.6 8178.65 8165.64 8173.29 8172.32 8176.92 8195.25 8220.96 8175.41 8185.29 8170.03 8215.18 8204.93 8201.34 8173.33 8160.7 8176.72 8156.83 8165.31 ...      
    8157.87 8235.67 8181.53 8168.73 8136.67 8147.75 8177.77 8188.51 8160.16 8177.3 8149.09 8185.77 8144.27 8180.51 8175.4 8181.48 8137.63 8161.6 8181.94 8210.2 8182.66 8188.52 8129.08 8144.88 8178.94 8148.39 8182.95 8169.34 8139.76 8158.55 8118.04 8125.63 8171.23 8127.28 8145.29 8109.62 8124.71 8132.45 8112.67 8114.06 8113.31 8125.73 8096.24 8135.03 8092.65 8113.73 8124.21 8127.3 8135.47 8127.17 8168.6 8147.48 8169.64 8184.63 8198.8 8161.45 8217.57 8182.82 8160.87 8146.89 8117.93 8128.79 8151.23 8147.52 8122.01 8139.14 8106 8131.7 8134.35 8100.27 8145.79 8162.82 8108.69 8104.47 8125.88 8125.97 8116.38 8146.79 8088.69 8120.03 8097.53 8096.71 8119.56 8154.06 8118.71 8127.13 8133.21 8148.94 8178.64 8135.35 8159.48 8158.53 8146.53 8171.51 8103.67 8145.47 8122.18 8127.55 8088.76 8097.06 ...      
    8140.57 8146.75 8142.37 8100.94 8168.08 8124.65 8149.88 8151.18 8178.86 8147.66 8162.08 8142.38 8160.36 8163.35 8178.91 8143.07 8172.75 8161.33 8170.84 8145.67 8128.92 8114.74 8113.86 8125.33 8068.41 8051.2 8068.07 8052.68 8078.77 8075.73 8100.76 8058.76 8109.85 8123.14 8107.2 8125.7 8142.1 8130.18 8095.56 8108.59 8054.82 8080.38 8062.9 8032.11 8070.62 8039.36 8056.49 8035.93 8055.74 8019.63 8028.99 8045.89 8019.38 8048.76 8040.76 8053.07 8074.11 8059.87 8117.2 8161.72 8108.11 8085.76 8089.66 8101.81 8048.68 8129.06 8062.77 8089.87 8054.9 8055.97 8084.91 8078.51 8068.41 8048.12 8102.91 8068.5 8078.21 8127.31 8079.43 8093.2 8095.91 8100.71 8130.1 8121.39 8093.77 8089.13 8109.9 8113.07 8090.48 8111.66 8090.89 8073.06 8097.39 8068.79 8066.23 8067.98 8055.01 8101.63 8099.27 8086.71 ...     
    8096.21 8103.9 8095.26 8135.33 8104.26 8132.46 8109.49 8081.2 8098.03 8079.94 8066.3 8067.42 8065.8 8083.46 8075.46 8110.65 8114.34 8107.24 8118.53 8092.35 8142.23 8133.19 8135.77 8158.4 8118.01 8117.44 8102 8171.49 8115.86 8130.59 8167.56 8128.97 8106.85 8142.38 8128.23 8133.61 8138.02 8134.63 8122.41 8101.85 8158.21 8121.87 8118.53 8137.31 8151.02 8096.74 8083.79 8128.28 8101.16 8076.28 8083.05 8125.28 8160.46 8148.92 8127.4 8101.59 8116.55 8053.23 8075.39 8086.22 8066.48 8115.32 8058.08 8071.73 8096.91 8114.18 8089.15 8056.28 8096.87 8093.09 8107.67 8140.53 8097.82 8107.7 8092.29 8094.87 8112.63 8078.54 8112.22 8096.67 8084.19 8110.17 8081.21 8101.03 8156.31 8140.44 8144.85 8132.06 8146.75 8120.13 8078.95 8074.2 8047.28 8025.38 8087.44 8083.25 8073.98 8054.69 8078.66 8049.1 ...      
    8027.08 8030.48 8051.84 8053.14 8071.29 8055.21 8125.14 8078.12 8088.66 8066.28 8088.23 8122.83 8119.01 8168.8 8083.11 8138.18 8117.55 8118.47 8156.2 8148.97 8155.71 8142.36 8129.72 8174.38 8113.69 8155.96 8139.88 8125.8 8133.05 8095.7 8105.87 8135.92 8120.28 8146.81 8140.25 8140.91 8182.18 8138.57 8128.1 8136.92 8142.25 8109.74 8099.96 8165.19 8121.77 8155.19 8186.47 8150.21 8202.03 8156 8184.23 8207.17 8176.85 8150.14 8147.66 8163.57 8138.2 8124.88 8108.13 8109.92 8110.96 8119.05 8118.48 8109.66 8100.23 8113.92 8109.18 8094.58 8089.38 8102.25 8059.51 8090 8029.77 8051.08 8019.46 8028.62 8052.78 8020.07 8051.89 8061.86 8066.2 8055.71 8118.32 8088.48 8098.7 8057.77 8043.16 8069.36 8040.45 8082.19 8074.03 8096.58 8117.07 8063.68 8120.58 8057.13 8132.22 8084.16 8083.35 8096.31 ...       
    8103.3 8072.6 8083.32 8107.48 8072.39 8100.95 8128.31 8117.24 8107.33 8092.41 8152.53 8129.08 8119.26 8153.58 8090.23 8157.32 8144.45 8152.48 8136.19 8063.26 8086.34 8101.85 8123.43 8137.33 8113.49 8169.88 8099.16 8130.6 8148.71 8160.27 8144.55 8182.11 8121.19 8108.79 8150.1 8104.59 8176.42 8124.78 8148.67 8105.99 8153.15 8095.56 8153.23 8160.81 8116.26 8148.82 8121.18 8111.05 8110.94 8127.07 8102.71 8127.74 8089.68 8053.29 8050.64 8022.83 8046.84 8093.44 8050.45 8064 8103.42 8082.64 8090.93 8057.3 8030.26 8082.04 7999.1 8071.33 8021.39 8087.05 8045.42 8043.16 8052.49 8024.77 8083.58 8060.55 8067.42 8041.29 8080.22 8048.17 8047.75 8042.99 8056.78 8037.14 8051.18 8044.52 8044.64 8015.56 8065.05 8063.33 8075.15 8059.23 8073.28 8073.56 8024.31 8086.03 8069.31 8118.26 8079.33 8080];
r1=c1+x1*d11+x2*d12;

Answer 1

[Jan]

Start with omitting the brute clearing header: clear all; close all; clc; This is a waste of time. USe functions to keep your workspaces clean.

Never store such a pile of data in an M-file. Write them to a MAT file and import them by load().

r    = zeros(size(X1));
r(1) = m;
for k = 1:numel(X1) - 1
   r1(k + 1) = r(k) + c1 + d11 * X1(k) + d11 * X2(k);
end

Maybe this defines r as you need it. But it is not clear, what you want to achieve.