how to solve the following second order differential equation using euler's method? Please help.

30-((l*c)*d^2vc/dt^2)-((l/r)dvc/dt)-vc=0

where,

l=29.5*10^(-3)

c=20*10^(-6)

r=10

here vc=voltage across capacitor and all initial conditions are zero

[Walter Roberson]

Is there a relationship between vc and c or is vc a different variable?

[sayan chakraborty]

vc is a different variable. here vc means voltage across capacitor

Answer 1

[Walter Roberson]

If the equation is 30-l*c*(diff(vc(t), t, t))-l*(diff(vc(t), t))/r-vc(t) = 0 then it cannot be solved without two additional boundary conditions.

[sayan chakraborty]

initial conditions are zero

[Walter Roberson]

Okay, that does have a solution

-(15/344*(43+sqrt(2537)))*(sqrt(2537)*exp(-(2500/59*(sqrt(2537)+59))*t)+8*exp((2500/59*(sqrt(2537)-59))*t)-51*exp(-(2500/59*(sqrt(2537)+59))*t)-sqrt(2537)+43)

[sayan chakraborty]

can you please show the steps involved

[Walter Roberson]

I used dsolve() from the symbolic toolbox.