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AMS 361: Applied Calculus IV (DE & BVP)
Homework 1
Assignment Date:
Wednesday (02/02/2011)
Collection Date:
Wednesday (02/16/2011)
Grade:
Each problem is worth 10 points
Problem 11:
Verify by substitution that the given functions are solutions of the given
differential equation. Primes denote derivatives with respect to
x
.
°
2
±
′′
+
°±
′
− ±
= ln
°
;
±
1
=
° −
ln
°
,
±
2
=
1
°
−
ln
°
Problem 12:
Verify that
y(x)
satisfies the given differential equation and then determine
a value of the constant
c
so that
y(x)
satisfies the given initial condition.
²
³
±
′
= 1;
±
(
°
) = ln(
°
+
´
) ,
±
(0) = 0
Problem 13:
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This note was uploaded on 05/09/2011 for the course AMS 361 taught by Professor Staff during the Spring '08 term at SUNY Stony Brook.
 Spring '08
 Staff

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