Verifying Solutions for Differential Equations
AP Calculus AB · Flashcards · Application
AP CALCULUS AB · FLASHCARDS
Card 1
of 19
0 got it
0 to review
Current
Got it
Still learning
Not seen
QUESTION
Verify if
y
=
1
2
e
2
x
y = \frac{1}{2}e^{2x}
y
=
2
1
e
2
x
solves
y
′
=
y
y' = y
y
′
=
y
.
QUESTION
Verify if
y
=
C
cos
(
2
x
)
y = C \text{cos}(2x)
y
=
C
cos
(
2
x
)
solves
y
′
′
+
4
y
=
0
y'' + 4y = 0
y
′′
+
4
y
=
0
.
QUESTION
Identify the order of the differential equation:
y
′
′
+
3
y
′
−
5
y
=
0
y'' + 3y' - 5y = 0
y
′′
+
3
y
′
−
5
y
=
0
.
Tap to flip before you grade
ANSWER
Order 2. Highest derivative is the second, so order is 2.
Swipe → got it · swipe ← still learning
Got it
Still learning
Flip Card
Previous card
Next card