Which of the following differential equations are in self-adjoint form? Select all that apply.
A) $r ( x ) y ^ { \prime \prime } + r ^ { \prime } ( x ) y ^ { \prime } + \lambda y = 0$
B) $y ^ { \prime \prime } + y ^ { \prime } + \lambda y = 0$
C) $\left( 1 - x ^ { 2 } \right) y ^ { \prime \prime } - 2 x y ^ { \prime } + \lambda y = 0$
D) $y ^ { \prime \prime } + \lambda y = 0$
E) $x ^ { 2 } y ^ { \prime \prime } + x y ^ { \prime } + \left( x ^ { 2 } - n ^ { 2 } \right) y = 0$

Question

Quizplus · Accepted Answer

The Answer of Which of the following differential equations are in self-adjoint form? Select all that apply.
A) $r ( x ) y ^ { \prime \prime } + r ^ { \prime } ( x ) y ^ { \prime } + \lambda y = 0$
B) $y ^ { \prime \prime } + y ^ { \prime } + \lambda y = 0$
C) $\left( 1 - x ^ { 2 } \right) y ^ { \prime \prime } - 2 x y ^ { \prime } + \lambda y = 0$
D) $y ^ { \prime \prime } + \lambda y = 0$
E) $x ^ { 2 } y ^ { \prime \prime } + x y ^ { \prime } + \left( x ^ { 2 } - n ^ { 2 } \right) y = 0$

Which of the Following Differential Equations Are in Self-Adjoint Form r(x)y′′+r′(x)y′+λy=0r ( x ) y ^ { \prime \prime } + r ^ { \prime } ( x ) y ^ { \prime } + \lambda y = 0r(x)y′′+r′(x)y′+λy=0

Which of the Following Differential Equations Are in Self-Adjoint Form $r ( x ) y ^ { \prime \prime } + r ^ { \prime } ( x ) y ^ { \prime } + \lambda y = 0$