QUESTION $5$

Solve the following differential equation in Matlab using ode$45.$m$.$ Use time interval of $0\mathrm{.}1$ second. $($Don$\text{'}$t use options in ode$45$ to change teh tolerance.$)$

$\frac{d^{2}x(t)}{d{t}^2}+x(t)\frac{dx(t)}{dt}+x(t)=0$

$x(0)=0,\frac{dx}{dt}{|}_t||=0=1$

What is $=0\mathrm{.}8)?)($

a$.)0\mathrm{.}653$

b$.)0\mathrm{.}726$

c$.)0\mathrm{.}498$

d$.)0\mathrm{.}547$

e$.)0\mathrm{.}651$

f$.)0\mathrm{.}895$