If \( y=x \ln \left((a x)^{-1}+a^{-1}\right) \), prove that \( x(x+1) \frac{d^{2} y}{d x^{2}}+x ...

Channel:
PW Solutions
Subscribers:
451,000
Published on ● Video Link: https://www.youtube.com/watch?v=dQFqwUgdxCo


Duration: 10:37
0 views
0

If \( y=x \ln \left((a x)^{-1}+a^{-1}\right) \), prove that \( x(x+1) \frac{d^{2} y}{d x^{2}}+x \frac{d y}{d x}=y-1 \)
\( \mathrm{P} \)
W
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live



Other Videos By PW Solutions


2022-12-01A point positive charge is brought near an isolated conducting sphere. The electric field is bes...
2022-12-01If the electric potential of the inner metal sphere is 10 volt \& that of the outer shell is 5 v...
2022-12-01An electric dipole ( dipole moment \( \mathrm{p} \) ) is placed at a radial distance \( \mathrm{...
2022-12-01The electrostatic potential on the surface of a charged conducting sphere is \( 100 \mathrm{~V} ...
2022-12-01Electric field lines in which an electric dipole \( \mathbf{p} \) is placed as shown. Which of t...
2022-12-01In an electric field the potential at a point is given by the following relation \( \mathrm{V}=\...
2022-12-01The nuclear charge \( (\mathrm{Ze}) \) is non-uniformly distribute within a nucleus of radius \(...
2022-12-01From a point if we move in a direction making an angle \( \theta \) measured from +ve \( \mathrm...
2022-12-01A positively charged particle is released from rest in an uniform electric field. The electric p...
2022-12-01A solid sphere of radius \( \mathrm{R} \) is charged uniformly. At what distance from its surfac...
2022-12-01If \( y=x \ln \left((a x)^{-1}+a^{-1}\right) \), prove that \( x(x+1) \frac{d^{2} y}{d x^{2}}+x ...
2022-12-01Four metallic plates are placed as shown in the figure. Plate 2 is given a charge \( \mathrm{Q} ...
2022-12-01Figure shows three circular arcs, each of radius \( \mathrm{R} \) and total charge as indicated....
2022-12-01Potential energy of a system comprising of point charges is \( \mathrm{U}_{1} \). When a charge ...
2022-12-01The electric field in a region is given by \( \vec{E}=200 \hat{i} \) N/C for \( \mathrm{x}0 \) a...
2022-12-01A line of charge extends along a \( \mathrm{X} \)-axis whose linear charge density varies direct...
2022-12-01Consider a circle of radius R. A point charge lies at a distance a from its center and on its ax...
2022-12-01An infinite, uniformly charged sheet with surface charge density \( \sigma \) cuts through a sph...
2022-12-01A point charge \( +Q \) is positioned at the center of the base of a square pyramid as shown. Th...
2022-12-01A nonconducting ring of radius \( R \) has uniformly distributed positive charge \( Q \). A smal...
2022-12-01The fig. shows the distribution of three charges \( -Q,+Q \) and \( -Q \) on the \( X \)-axis. W...