If y=1−x2s∈−1 x, show that (1−x2) dx2d2 y− 3x dxdy− y=0

Click here to view the solution.

Get 2 FREE Instant-Explanations on Filo with code FILOAPP

If {y}={{{s}^{{-{1}}} {x}}}{{{{{1}-{x}^{{2}}}}}}, show that {(

Question

If $y = \frac{s \in ^{- 1} x}{1 - x ^{2}}$ , show that $(1 - x^{2})$ $\frac{d ^{2} y}{d x ^{2}} - 3 x \frac{d y}{d x} - y = 0$

Views: 751 students

Found 2 tutors discussing this question

Amelia Discussed

y = \frac{s \in ^{- 1} x}{1 - x ^{2}}

, show that

(1 - x^{2})

\frac{d ^{2} y}{d x ^{2}} - 3 x \frac{d y}{d x} - y = 0

12 mins ago

Discuss this question LIVE

12 mins ago

Question Text

y = \frac{s \in ^{- 1} x}{1 - x ^{2}}

, show that

(1 - x^{2})

\frac{d ^{2} y}{d x ^{2}} - 3 x \frac{d y}{d x} - y = 0