exact solution for system first order ODEs

How to get exact solution for system of first order odes. The system of odes is

y'1=-y1+y2^2+y3^2+y4^2;

y'2=-10y2+10(y3^2+y4^2);

y'3=-40y4+40y4^2;

y'4=-100y4+2;

[SUMAN DUTTA]

You can use the ode45 command to solve your problem, this link will definenitely help you I feel

https://in.mathworks.com/help/matlab/ref/ode45.html#d123e924894

[Hira Soomro]

will it give the exact silutions too? because i cannot see the solution i just got numerical values.

Answer 1

[Sulaymon Eshkabilov]

You shall try dsolve() if your system of ODEs can be solved analytically via Symbolic MATH.

https://www.mathworks.com/help/symbolic/dsolve.html

If dsolve() fails, you can try numerical solvers, viz. ode23, ode45, ode113, etc.