Prove that if a , b , and c are positive constants, then all solutions to the second-order linear differential equation a y ″ + b y ′ + c y = 0 approach zero as x → ∞ ( Hint: Consider three cases: two distinct roots, repeated real roots, and complex conjugate roots.)
Prove that if a , b , and c are positive constants, then all solutions to the second-order linear differential equation a y ″ + b y ′ + c y = 0 approach zero as x → ∞ ( Hint: Consider three cases: two distinct roots, repeated real roots, and complex conjugate roots.)
Prove that if a, b, and c are positive constants, then all solutions to the second-order linear differential equation
a
y
″
+
b
y
′
+
c
y
=
0
approach zero as
x
→
∞
(Hint: Consider three cases: two distinct roots, repeated real roots, and complex conjugate roots.)
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