Sem 2

Computer Engineering

Year 1

First Year

`Practice theory Questions<ol style="padding-left:0pt; "><li style="font-family:Rockwell; font-weight:bold; color:#ff0000; margin-left:12pt; line-height:150%; text-align:justify; font-size:12pt">Find the differential equation of  all circles of radius a?</li></ol>`

`(Hint Equation  of such circles   are <div style="overflow-x:auto;"><img align="left" alt="" src="https://glossaread-contain.s3.ap-south-1.amazonaws.com/epub/1650899615_0645804.png"/></div>)2.     Form the differential equation for <img alt="" src="https://glossaread-contain.s3.ap-south-1.amazonaws.com/epub/1650899615_132078.png"/>are parameters.3.     Solve   the differential equation<img alt="" src="https://glossaread-contain.s3.ap-south-1.amazonaws.com/epub/1650899615_1860895.png"/>?4.     Solve   the differential equation<img alt="" src="https://glossaread-contain.s3.ap-south-1.amazonaws.com/epub/1650899615_2422462.png"/>?5.     Solve   the differential equation<img alt="" src="https://glossaread-contain.s3.ap-south-1.amazonaws.com/epub/1650899615_294421.png"/>?6.     Solve   the differential equation<img alt="" src="https://glossaread-contain.s3.ap-south-1.amazonaws.com/epub/1650899615_339561.png"/>?7.     Solve   the differential equation<img alt="" src="https://glossaread-contain.s3.ap-south-1.amazonaws.com/epub/1650899615_3871665.png"/>?8.     Solve   the differential equation<img alt="" src="https://glossaread-contain.s3.ap-south-1.amazonaws.com/epub/1650899615_4384065.png"/>?9.     Solve   the differential equation<img alt="" src="https://glossaread-contain.s3.ap-south-1.amazonaws.com/epub/1650899615_4944358.png"/>?10. Solve   the differential equation<img alt="" src="https://glossaread-contain.s3.ap-south-1.amazonaws.com/epub/1650899615_5645816.png"/>?11. Solve the differential equation<img alt="" src="https://glossaread-contain.s3.ap-south-1.amazonaws.com/epub/1650899615_6142602.png"/>?12. Solve the differential equation<img alt="" src="https://glossaread-contain.s3.ap-south-1.amazonaws.com/epub/1650899615_6634867.png"/>?13. Solve the differential equation<img alt="" src="https://glossaread-contain.s3.ap-south-1.amazonaws.com/epub/1650899615_7200081.png"/>?14. Solve the differential equation<img alt="" src="https://glossaread-contain.s3.ap-south-1.amazonaws.com/epub/1650899615_7719588.png"/>?15. Solve the differential equation<img alt="" src="https://glossaread-contain.s3.ap-south-1.amazonaws.com/epub/1650899615_827642.png"/>?16. Solve the differential equation<img alt="" src="https://glossaread-contain.s3.ap-south-1.amazonaws.com/epub/1650899615_8783994.png"/>?17. Solve the differential equation<img alt="" src="https://glossaread-contain.s3.ap-south-1.amazonaws.com/epub/1650899615_9282794.png"/>?18. Solve the differential equation<img alt="" src="https://glossaread-contain.s3.ap-south-1.amazonaws.com/epub/1650899615_9828117.png"/>?19. Solve the differential equation<img alt="" src="https://glossaread-contain.s3.ap-south-1.amazonaws.com/epub/1650899616_039796.png"/>?20. Solve the differential equation<img alt="" src="https://glossaread-contain.s3.ap-south-1.amazonaws.com/epub/1650899616_0947886.png"/>?21. Show that<img alt="" src="https://glossaread-contain.s3.ap-south-1.amazonaws.com/epub/1650899616_1443875.png"/>  are the solutions of the differential equation    <img alt="" src="https://glossaread-contain.s3.ap-south-1.amazonaws.com/epub/1650899616_1946187.png"/>. Prove that these solutions are linearly dependent?22. Show that  <img alt="" src="https://glossaread-contain.s3.ap-south-1.amazonaws.com/epub/1650899616_2454793.png"/> is the unique solution of <img alt="" src="https://glossaread-contain.s3.ap-south-1.amazonaws.com/epub/1650899616_3002903.png"/> satisfying <img alt="" src="https://glossaread-contain.s3.ap-south-1.amazonaws.com/epub/1650899616_3680644.png"/>? `