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Find the order of the differential equat...

Find the order of the differential equation ` 9((d^2y)/dx^2)−7(dy/dx)+y^6=0`
a) 3
b) 1
c) 6
d) 2

Text Solution

Verified by Experts

The correct Answer is:
A, B
A is light pulley and B is the descending puley having I=0.20 kg-m^2 and r=0.2 m
Mass of the block =1kg
According to the question
`T_1=m_1a`……….1
`(T_2-T_1)r=Ialpha`……2
`m_2g=m_2alpha a/2=T_1+T_2`……. 3
`T_2-T_1=(Ia)/(2r^2)=(5a)/2`
and `T_1=a` (because `alpha=a/(2r))`
`rarr T_2=/2a`

`rarr m_2g=m_2a/2+7/5a+a`
[using 3]
`rarr (2I)/r^2g=(2I)/r^2a/2+9/2as (1/2mr^2=I)`
`rarr 98.5a+4.5a`
`rarr a=98/9.5=10.3 m/s^2`
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