- #1
Dusty912
- 149
- 1
Homework Statement
Consider the linear system:
dx/dt=x-y
dy/dt=x+3y
a. show that the function (x(t), y(t))=(te2t, -(t+1)e2t) is a solution to the differential equation (easy)
b. Solve the initial value problem
dx/dt=x-y
dy/dt=x+3y
y(0)=(0,2)
need help with part b not a
Homework Equations
linarity principle
y(t)=k1y1(t) +k2y2(t)
The Attempt at a Solution
Really don't even know where to start. I understand how to use the linearity principle with two given solutions but not one. I feel like I am missing a very fundamental idea about initial value problems. So any idea on where I should begin with just one given solution?[/B]