I am attempting to sovle three differental equations simultaneously. The end goal is to plot the trajectory of (R2, R1) on an x,y plot.

Equation 1: dR1/dt = k1(a1*Rw – R1)
Equation 2: dR2/dt = k2(a2*Rw – R2)
Equation 3: (Xw*dRw)/dt = (Rwin-Rw)*u – (X1(dR1))/dt – (X2(dR2))/dt

ideally I would like to generate code to solve these three equations to where I could define the variables as needed but if this helps,
u=0:1
R1=6
R2=5.5
Rw=-0.5
a1=1.001
a2=0.9998
X1=X2 (these are mole fractions)
K1/K2 = 5 (these are rate constants)
Xw = 0.01 to 0.999 with steps of 0.01, 0.1, 0.2, 0.333, 0.5, 0.666, 0.8, 0.999

Atttached is the original paper for the equations and the way I would like to graph them for reference. The three ways I want to graph the data are "Closed" system, "Buffered" system, and Open System.

Thank you!! If this question belongs somwhere else please let me know.I am attempting to sovle three differental equations simultaneously. The end goal is to plot the trajectory of (R2, R1) on an x,y plot.

Equation 1: dR1/dt = k1(a1*Rw – R1)
Equation 2: dR2/dt = k2(a2*Rw – R2)
Equation 3: (Xw*dRw)/dt = (Rwin-Rw)*u – (X1(dR1))/dt – (X2(dR2))/dt

ideally I would like to generate code to solve these three equations to where I could define the variables as needed but if this helps,
u=0:1
R1=6
R2=5.5
Rw=-0.5
a1=1.001
a2=0.9998
X1=X2 (these are mole fractions)
K1/K2 = 5 (these are rate constants)
Xw = 0.01 to 0.999 with steps of 0.01, 0.1, 0.2, 0.333, 0.5, 0.666, 0.8, 0.999

Atttached is the original paper for the equations and the way I would like to graph them for reference. The three ways I want to graph the data are "Closed" system, "Buffered" system, and Open System.

Thank you!! If this question belongs somwhere else please let me know. I am attempting to sovle three differental equations simultaneously. The end goal is to plot the trajectory of (R2, R1) on an x,y plot.

Equation 1: dR1/dt = k1(a1*Rw – R1)
Equation 2: dR2/dt = k2(a2*Rw – R2)
Equation 3: (Xw*dRw)/dt = (Rwin-Rw)*u – (X1(dR1))/dt – (X2(dR2))/dt

ideally I would like to generate code to solve these three equations to where I could define the variables as needed but if this helps,
u=0:1
R1=6
R2=5.5
Rw=-0.5
a1=1.001
a2=0.9998
X1=X2 (these are mole fractions)
K1/K2 = 5 (these are rate constants)
Xw = 0.01 to 0.999 with steps of 0.01, 0.1, 0.2, 0.333, 0.5, 0.666, 0.8, 0.999

Atttached is the original paper for the equations and the way I would like to graph them for reference. The three ways I want to graph the data are "Closed" system, "Buffered" system, and Open System.

Thank you!! If this question belongs somwhere else please let me know. differential equations MATLAB Answers — New Questions

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