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  7. ENGR 213

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Practice material 3
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  • Course
  • ENGR 213
  • Institution
  • Concordia University ( )

Starting from the beginning of the year, here are the tutorial questions completed in class to aid you with the practice of some exercises. These include differential practice numbers as well as theory notes explaining the exercises.

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Document information

  • May 12, 2023
  • 1
  • 2020/2021
  • Class notes
  • Dimitry k.
  • All classes

Subjects

  • practice
  • tutorial
  • math
  • exercises
  • midterm

Written for

  • Concordia University ( )
  • Computer Engineering
  • ENGR 213
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27) y
+
2y 0
=




if
y
em* =
is a solution of
above differential equation,
what would be the value of
m?


mX
= emx MX
y e
y
me
=
1 =




dX

+
y zy = 0


memx 2emx
+
0
=
D
= em (m 2) +
0
=




m>0
*
** -D
sem. *MPOSSIBLE
m -
=
2
ent




a
-

mo




y"- Sy' by 0 emx what is m?
i
y
=
+ =




m2 enx
ex y1 Yeux
=




y
=
=




m2 em" - SmeMY + GemY 0
=




emx(m2 -
5m 6)
+
0
=




-mx impossible

E
=
0




m2 -
5m 6
+ 0
= D(m
= -


2)(m 3)
-
0
=




m 2
=
and m 3
=




valid
Thus
y=
e2 and yet both are

solutions of
this
diff. equation

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