Let \( y=y(x) \) be the solution of the differential equation sin
P...
Let \( y=y(x) \) be the solution of the differential equation sin
P \( \mathrm{x} \frac{\mathrm{dy}}{\mathrm{dx}}+\mathrm{y} \cos \mathrm{x}=4 \mathrm{x}, \mathrm{x} \in(0, \pi) \). If \( \mathrm{y}\left(\frac{\pi}{2}\right)=0 \), then \( \mathrm{y}\left(\frac{\pi}{6}\right) \)
W) is equal to :
[JEE Main - 2018]
(a) \( \frac{-8}{9 \sqrt{3}} \pi^{2} \)
(b) \( -\frac{8}{9} \pi^{2} \)
(c) \( -\frac{4}{9} \pi^{2} \)
(d) \( \frac{4}{9 \sqrt{3}} \pi^{2} \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions
| 2023-02-14 | Match the terms given in Column I with the items given in Column II... |
| 2023-02-14 | If \( (x+3,4-y)=(1,7) \), then \( (x-3,4+y) \) is equal to
(A) \( (... |
| 2023-02-14 | If \( y=y(x) \) is solution of the differential equation
P \( x \fr... |
| 2023-02-14 | A vertical spring mass system is taken on moon. It starts oscillati... |
| 2023-02-14 | If \( n(A)=115, n(B)=326, n(A-B)=47 \), then \( n A \cup B \) is eq... |
| 2023-02-14 | A proton of energy \( 1 \mathrm{MeV} \) describes a circular path i... |
| 2023-02-14 | A straight wire of mass \( 200 \mathrm{~g} \) and length \( 1.5 \ma... |
| 2023-02-14 | An electron moves in a circular orbit with a uniform speed \( v \).... |
| 2023-02-14 | Seven identical circular planar disks, each of mass \( M \) and radius \( R \) are welded symmet... |
| 2023-02-14 | The set \( \left\{x: x^{2} \neq x\right\} \) may be equal to
(A) \(... |
| 2023-02-14 | Let \( y=y(x) \) be the solution of the differential equation sin
P... |
| 2023-02-14 | Molar conductivity of ionic solution depends on
(i) temperature.
\(... |
| 2023-02-14 | Let \( \mathrm{f}:[0,1] \rightarrow R \) be such that \( \mathrm{f}... |
| 2023-02-14 | An \( \alpha \)-particle with a specific charge of \( 2.5 \times 10... |
| 2023-02-14 | For the given cell, \( \mathrm{Mg}\left|\mathrm{Mg}^{2+}\right|\lef... |
| 2023-02-14 | If \( (2+\sin x) \frac{d y}{d x}+(y+1) \cos x=0 \) and \( y(0)=1 \)... |
| 2023-02-14 | Loss of water in liquid phase (in form of droplets) from the margin of leaves in many herbaceous... |
| 2023-02-14 | The set \( \left\{x: x^{2} \neq x\right\} \) may be equal to
(A) \(... |
| 2023-02-14 | No rupture and fraction occur in water column of vessels and tracheids during ascent of sap. It ... |
| 2023-02-14 | What will happen during the electrolysis of aqueous solution of \( ... |
| 2023-02-14 | What will happen during the electrolysis of aqueous solution of \( ... |
0