How to solve differential equation with variable input parameters

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Swagato Das
Swagato Das 2017-6-29
编辑： Torsten 2017-6-29
How to solve differential equation: zdot = (w*v*z)+1. where w=constant, v= velocity array of size 10, z is the initial condition=0. The solution for the first step is the z value for the next step.

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Torsten
Torsten 2017-6-29
z0=0
z1=z0+dt*(w*v1*z1+1) -> z1=(z0+dt)/(1-dt*w*v1)
z2=z1+dt*(w*v2*z2+1) -> z2=(z1+dt)/(1-dt*w*v2)
...
In general:
Use the recursion
z(i+1)=(z(i)+dt)/(1-dt*w*v(i+1)) (i=1,...,9)
with
z(1)=0
Best wishes
Torsten.
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Torsten
Torsten 2017-6-29
编辑：Torsten 2017-6-29
Then, with your time-dependent vector v, you can adapt the example "ODE with Time-Dependent Terms" provided under
https://de.mathworks.com/help/matlab/ref/ode45.html
Best wishes
Torsten.

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