solving a differential equation

how do i solve it

[Ameer Hamza]

This is obviously a homework question. Please tell what have you already tried. What are the specific problems you are facing? Then we can guide you about that problem.

[Amjad Green]

not sure if my method is right way to solve

function vdot = amjad1(t,v )
%UNTITLED5 Summary of this function goes here
%   Detailed explanation goes here

R=1e3;L=0.8;C=1e-3;
vdot(1)=v(2);
vdot(2)=(-1/(R*C))*v(2)-(1/(L*C)*vdot(1));
vdot=vdot';
end

then in command window

[t,v]=ode45('amjad1','[0:8]','[10 0]')

[Walter Roberson]

What is sunplot ? Did they mean subplot ?

The timespan and initial conditions should not be in quotes. Also it is better to use function handles than quoted function names

 [t, v] = ode45(@amjad1, 0:8, [10 0])

[Torsten]

vdot(2)=(-1/(R*C))*v(2)-(1/(L*C)*v(1));

instead of

vdot(2)=(-1/(R*C))*v(2)-(1/(L*C)*vdot(1));

Best wishes

Torsten.

Answer 1

[Birdman]

Use Symbolic approach:

R=1000;L=0.8;C=1e-3;
syms v(t)
eq=diff(v,2)+(1/(R*C))*diff(v)+v/(L*C)==0;
cond1=v(0)==10;
Dv=diff(v);
cond2=Dv(0)==0;
V(t)=dsolve(eq,[cond1 cond2])
t=0:0.01:8;
plot(t,V(t))