In the problem i need to solve the following systems of diferential equations (and find the definite solution) and discuss the stability properties. Afterwards i have to convert the system of two first-order di¤erential equations into one second-order diferential equation and solve the second-order diferential equation. Initial conditions are given as y1 (0) = 1 and y2 (0) = 0. And one of the systems (there are three ) in the problem is in the form:
y'1 = -3y1 + 5y2
y'2 = -y1 + y2
Please help me as soon as you can .