You are not logged in.
Pages: 1
The functions A(t) and B(t) are solutions to this system of differential equations:
x' = y
y' = x
x(0) = 1
y(0) = 0
Find and classify all equilibrium points of this system.
Offline
These are two coupled equations, to solve it differentiate both sides, to get:
y''=x'=y
x''=y'=x
The general solution to this, where C and D are constants, is C sinh(t) and D cosh(t). Using your initial conditions:
x(0)=1
y(0)=0
x=cosh(t)
y=sinh(t).
Does this help?
Offline
Pages: 1