Let consider the differential equation dx t dt X = (a) For t > 0, is x(t) = t a solution of the differential equation? (b) Use the Theorem we saw in class to show that if x(1) = ½ the solution exists and it is unique. (c) Find the solution analytically using x(1) = 1.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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3. Let consider the differential equation
dx
dt
t
X
(a) For t > 0, is x(t) = t a solution of the differential equation?
(b) Use the Theorem we saw in class to show that if x(1) = ½ the solution exists and it
is unique.
(c) Find the solution analytically using x(1) = 1.
Transcribed Image Text:3. Let consider the differential equation dx dt t X (a) For t > 0, is x(t) = t a solution of the differential equation? (b) Use the Theorem we saw in class to show that if x(1) = ½ the solution exists and it is unique. (c) Find the solution analytically using x(1) = 1.
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