Consider the second-order differential equation .
Write the differential equation in the form . a regular singular point for this equation?
A) $ x^{2} p(x) $ and $ x q(x) $ both have convergent Taylor expansions about 0 .
B) $ \lim _{x \rightarrow 0} x^{2} p(x)=0 $ and $ \lim _{x \rightarrow 0} x q(x)=\infty $
C) $ \lim _{x \rightarrow 0} x p(x) $ is finite and $ \lim _{x \rightarrow 0} x^{2} \gamma(x)=\infty $
D) $ \lim _{x \rightarrow 0} x p(x) $ is finite and $ x^{2} \gamma(x) $ has a convergent Taylor expansion about 0 .

Question

Consider the second-order differential equation  .
Write the differential equation in the form  . a regular singular point for this equation?
A) $ x^{2} p(x) $ and $ x q(x) $ both have convergent Taylor expansions about 0 . 
B) $ \lim _{x \rightarrow 0} x^{2} p(x)=0 $ and $ \lim _{x \rightarrow 0} x q(x)=\infty $ 
C) $ \lim _{x \rightarrow 0} x p(x) $ is finite and $ \lim _{x \rightarrow 0} x^{2} \gamma(x)=\infty $ 
D) $ \lim _{x \rightarrow 0} x p(x) $ is finite and $ x^{2} \gamma(x) $ has a convergent Taylor expansion about 0 .

Quizplus · Accepted Answer

The Answer of Consider the second-order differential equation  .
Write the differential equation in the form  . a regular singular point for this equation?
A) $ x^{2} p(x) $ and $ x q(x) $ both have convergent Taylor expansions about 0 . 
B) $ \lim _{x \rightarrow 0} x^{2} p(x)=0 $ and $ \lim _{x \rightarrow 0} x q(x)=\infty $ 
C) $ \lim _{x \rightarrow 0} x p(x) $ is finite and $ \lim _{x \rightarrow 0} x^{2} \gamma(x)=\infty $ 
D) $ \lim _{x \rightarrow 0} x p(x) $ is finite and $ x^{2} \gamma(x) $ has a convergent Taylor expansion about 0 .

Consider the Second-Order Differential Equation x2p(x) x^{2} p(x) x2p(x) And xq(x) x q(x) xq(x)

Consider the Second-Order Differential Equation $x^{2} p(x)$ And $x q(x)$