I was trying to solve a system of muptiple ODEODE at the same time in Matlab but wasn't sure how should I solve for that.
So if I have
dy1/dx=sum of yi , i from 1 to j
dy2/dx=y1^2-y2*sum of yi, i from 1 to j
dy3/dx=y1*y2+y2^2- y3*sum of yi, i from 1 to j
and given initial condition that y1(0)=1 other yi=0 (i>1)
Could anyone have me with this please? Thank you!