I have this problem to solve the diffrential equation, can someone give me a hint where I should start
This is easily solved by using methods from linear algebra. The system can be written as:
The eigenvalues that belong to the transformation matrix are -4 and -7, so you end up with the eigenvectors:
With inverse:
The new transformation matrix becomes:
And the system is transformed to:
Then just solve the two systems independently and transform the solution to the old coordinates by using:
I have only done Linear Algebra 103!
I don't understand this, sorry I wasn't clear enough about my math skills
This is in a chapter called "simultaneous differential equations".
So I can not return the solutions in linear algebric form, my teacher would defenitly see that I got some advanced help