Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Let
y
=
e
3
x
−
2
y=e^{3x}-2
y
=
e
3
x
−
2
. Which of the following differential equations is satisfied by this function for all real numbers
x
x
x
? a)
d
y
d
x
=
3
(
y
−
2
)
\dfrac{dy}{dx}=3\bigl(y-2\bigr)
d
x
d
y
=
3
(
y
−
2
)
b)
d
y
d
x
=
3
(
y
+
2
)
\dfrac{dy}{dx}=3\bigl(y+2\bigr)
d
x
d
y
=
3
(
y
+
2
)
c)
d
y
d
x
=
3
y
\dfrac{dy}{dx}=3y
d
x
d
y
=
3
y
d)
d
y
d
x
=
1
3
(
y
+
2
)
\dfrac{dy}{dx}=\dfrac{1}{3}\bigl(y+2\bigr)
d
x
d
y
=
3
1
(
y
+
2
)
Browse the problem library