How do i write this differential equation in matlab?

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Augustine Nashwan Aziz Al-Zebary 2021-5-12

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https://ww2.mathworks.cn/matlabcentral/answers/828615-how-do-i-write-this-differential-equation-in-matlab

评论： Star Strider 2021-5-13

global R C u
R = 10e3;
C = 3.3e-6;
tau = R*C; 
u = @(t)  10*(t>tau); 

The initial value is uC(0)=0

I want to write the diff equation in a function and use ode45 to solve it. Can someone please help me? i've tried everything but i dont understand how to write it into a function and how to solve it. Would be really appreciated!

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采纳的回答

Star Strider 2021-5-12

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There are several options, including using the numerical solvers.

This approach uses the Symbolic Math Toolbox —

syms C R uc(t) u

eqn = R*C*diff(uc)+uc == u;

uc(t) = dsolve(eqn, uc(0)==0)

uc(t) =

uc = subs(uc,{C,R,u},{1E-9,1E+3,sin(2*pi*t)})

uc(t) =

figure

fplot(uc, [0 10])

grid

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Augustine Nashwan Aziz Al-Zebary 2021-5-13

I got it working, big thanks for the help!

Star Strider 2021-5-13

As always, my pleasure!

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MATLAB Mathematics Numerical Integration and Differential Equations Ordinary Differential Equations

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