MATLAB QUESTION Find the general solution of the given application of differential equation using MATLAB. NOTE:...

ANSWER:

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CODE TEXT

% first order diffrential equation

% for E = 50*sin(20t), R = 5, I(inductance) = 0.4 Henrys, current=i is

% I (di/dt) + R.i = E(t)

% using syms and dsolve methods of matlab

syms curr(t)

% defining other given variables

I = 0.4;

R = 5;

E = 50*sin(20*t);

% defining equation

eqn = I*diff(curr,t) + R*curr == E;

% defining initial condition

cond = curr(0) == 0;

% solving equation using dsolve w.r.t initial condition

currSol(t) = dsolve(eqn,cond);

% finding current for T=1:100 using solution, converting sym solve to

% double

T = 1:100;

current = double(currSol(T));

% ploting the result

plot(T,current);

xlabel('Time');

ylabel('Current');

title('Time vs current for I (di/dt) + R.i = E(t)')

CODE/ENVIRONMENT IMAGE

OUTPUT IMAGE