Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
The differential equation
y
′
′
−
4
y
′
+
4
y
=
e
2
x
y''-4y'+4y=e^{2x}
y
′′
−
4
y
′
+
4
y
=
e
2
x
is given. Let
y
(
x
)
=
(
A
x
2
+
B
x
)
e
2
x
y(x)=(Ax^{2}+Bx)e^{2x}
y
(
x
)
=
(
A
x
2
+
B
x
)
e
2
x
, where
A
A
A
and
B
B
B
are constants. Find all real values of
A
A
A
and
B
B
B
for which
y
(
x
)
y(x)
y
(
x
)
is a solution.
Browse the problem library