Find the variation of x(t)

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Abhinav Raghunandan 2022-5-17

评论： Abhinav Raghunandan 2022-5-17

Given differential equation

x''(t) + 7x'(t) + 5x(t) = 8u(t) where u is the unit step signal.

Initial Conditions: x(0) = 1, x'(0) = 2

Can someone please help me out to plot x(t) using Matlab with the given initial conditions?

Chunru 2022-5-17

编辑：Chunru 2022-5-17

syms x(t)

Dx = diff(x, t);

eqn = diff(Dx, t) + 7* Dx + 5*x == 8

eqn(t) =

cond = [x(0)==1, Dx(0)==2];

y = dsolve(eqn, cond)

y =

fplot(y, [0 5])

Chunru 2022-5-17

since u(t)=1 for t>0 and the initial condition is at t=0, it take cares of u(t).

[0, 5] indicates the plotting interval for t is from 0 to 5 as shown in the plot.

thank you so much!

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