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The MATLAB quesiton about the ODE45 Just want to tell you that [use your ODE sol

ID: 3010674 • Letter: T

Question

The MATLAB quesiton about the ODE45

Just want to tell you that [use your ODE solver] in the problem means use ODE45

Please show me MATLAB code that works

Part 3c. A conceptual rainfall-runoff model (see figure below) is used to model hydrologic response of a watershed. The model uses two storage units for the watershed: an upper zone soil water storage (u) and a lower zone soil water storage (1). Baseflow originates from the lower zone storage with a recession constant (k) and interflow originates from the upper zone storage with a recession constant (k). The rate constant kp pertains to the percolation process, in which water percolates from the upper zone to the lower zone. The time of concentration for surface runoff (r) is te and p is the precipitation-excess rate Precipitation (p) Overland flow (r) Um Percolation Interflow (ku u) Baseflow (k, I)

Explanation / Answer

all OF THE DIFFERENTIAL equation have the same syntax that you must use and the same input and output arguements.let us suppose we want to solve the simple differential equations y^1=y,y(0)=1which has the true solution y(t)=e^t

suppose we want the solution between t=0 and t=1

to use function handles you must first create an M-FILE WITH the function in it like so

function yprime=func(t,y)

yprime=o;

yprime=y

once file is created then call the ODE function with the arguments in the order

func=@(t,y)y;

ode45(func,[0,1],1)

there are rather large number of options that MATLAB gives you to modify how it solves the derivatives function

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