a.) Suppose y1=t^2y1+4y2+sec(t) y2=sin(t)y1+ty26. This system of linear differential equations can be put in the form y'=
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Question:
a.) Suppose
y′1=t^2y1+4y2+sec(t)
y′2=sin(t)y1+ty2−6.
This system of linear differential equations can be put in the form y'=P(t)y+g(t).
Determine P(t) and g(t)
b.) Suppose
(t+3)y′1=5ty1+9y2
(t−6)y′2=9y1+4ty2 y1(1)=0, y2(1)=2
This system of linear differential equations can be put in the form y'=P(t)y+g(t).
Determine P(t) and g(t)
Find the largest interval a
c.) Two solutions of a 2×2 first order linear system are given by
y1=[e^(5t),e^(5t)], y2=[−e^(−t) ,2e^(−t)]
Set up the Wronskian of the two solution
Wronskian = det
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