urbanist
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Hi all,
I'd be very happy if you could help me solve a problem in my research.
I need to prove the following:
H'(r) = -y(r) - k H(r)
k is a constant.
y is strictly increasing, but not continuous.
Let (a,b]\subset R.
(H_x, y_x) denotes solution x.
H_1(a)<H_0(a)<0.
H_0(s)<0, H_1(s)<0 for all s\in(a,b].
y_1(s)>y_0(s) for all s \in (a,b].
Show:
H_1(r)<H_0(r) for all r \in (a,b].
I'd be very happy if you could help me solve a problem in my research.
I need to prove the following:
H'(r) = -y(r) - k H(r)
k is a constant.
y is strictly increasing, but not continuous.
Let (a,b]\subset R.
(H_x, y_x) denotes solution x.
H_1(a)<H_0(a)<0.
H_0(s)<0, H_1(s)<0 for all s\in(a,b].
y_1(s)>y_0(s) for all s \in (a,b].
Show:
H_1(r)<H_0(r) for all r \in (a,b].