MHT CET202124 Sep 2021Morning ShiftMathematicsDifferential EquationsActual
The differential equation obtained by eliminating A and B from y=A t+B t
Options
- Ad^2 y d t^2 + ^2 y=0
- Bd ^2 y dt ^2 + y ^2=0
- Cd^2 y d t^2 - ^2 y=0
- Dd^2 y d t^2 - y^2=0
Correct answer
A. d^2 y d t^2 + ^2 y=0
Step-by-step solution
aligned & y=A t+B t & d y d t =-A t+B t & d^2 y d t^2 =-A ^2 t-B ^2 t & =- ^2(A t+B t)=- ^2 y & d^2 y d t^2 + ^2 y=0 aligned