Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Let
y
=
(
x
2
+
1
)
e
5
x
y=(x^{2}+1)e^{5x}
y
=
(
x
2
+
1
)
e
5
x
. Does this function satisfy the differential equation
d
y
d
x
=
5
(
x
2
+
1
)
e
5
x
+
2
x
e
5
x
\dfrac{dy}{dx}=5(x^{2}+1)e^{5x}+2x e^{5x}
d
x
d
y
=
5
(
x
2
+
1
)
e
5
x
+
2
x
e
5
x
? Justify your answer with the derivative of
y
y
y
.
Browse the problem library