Which is the most accurate way to solve these equations?

Where for semplicity A, B, E can be assumed = 1. u, v and w are velocity components and t is time.

Also intial contitions can be assumed:

u(0)=0

v(0)=0

w(0)=0

Answer 1

[Dyuman Joshi]

"Which is the most accurate way to solve these equations?"

Generally, the most accurate way to solve any equation is analytically, if it can be solved analytically.

Using symbolic math toolbox -

syms u(t) v(t) w(t) A B E F
eq1 = diff(u,t)+A*B*w(t)*sin(F*t)==0;
eq2 = diff(v,t)==0;
eq3 = diff(w,t)-sin(F*t)*u(t)-A*E*sin(F*t)==0;
con1 = u(0)==0;
con2 = v(0)==0;
con3 = w(0)==0;

sol=dsolve([eq1 eq2 eq3],[con1 con2 con3]);
U(t)=sol.u

U(t) = 

V(t)=sol.v

V(t) = 

0

W(t)=sol.w

W(t) = 

[Davide Cannavacciuolo]

Perfect, it makes sense to me! Thank you!