Set of ODEs with an additional condition
조회 수: 1(최근 30일)
Hello, Let's say we have the following system of equations: x'=x+sin(y) y'=y+x And we know the boundary conditions. Also, we have the following condition that must be met in the solution of the two equations: log(x)+exp(x)-2*sin(y^2)=0 Is there an official title for this kind of problems? How to solve this system? Thank you!
Torsten 2016년 10월 28일
The two differential equations uniquely determine x and y. So you can't expect the algebraic relationship
to be satisfied for the solution of the two differential equations
x'=x+sin(y) , y'=y+x.