1. DEPARTMENT OF MATHEMATI CS [ YEAR OF ESTABLISHMENT – 1997 ] DEPARTMENT OF MATHEMATICS, CVRCE

2. MATHEMATICS - II ● LAPLACE TRANSFORMS ● FOURIER SERIES ● FOURIER TRANSFORMS ● VECTOR DIFFERENTIAL CALCULUS ● VECTOR INTEGRAL CALCULUS ● LINE, DOUBLE, SURFACE, VOLUME INTEGRALS ● BETA AND GAMMA FUNCTIONS FOR BTECH SECOND SEMESTER COURSE [COMMON TO ALL BRANCHES OF ENGINEERING] DEPARTMENT OF MATHEMATICS, CVRCE TEXT BOOK: ADVANCED ENGINEERING MATHEMATICS BY ERWIN KREYSZIG

3. MATHEMATICS-II Solution of Systems of Differential Equations Using Laplace Transforms Lecture : 10 DEPARTMENT OF MATHEMATICS, CVRCE

4. Solution of System of Differential Equations Using Laplace Transform 1.Solve the system of differential equation using Laplace transformation Solution: The given system is DEPARTMENT OF MATHEMATICS, CVRCE

5. Taking Laplace transform of (1) we get Solution of System of Differential Equations Using Laplace Transform DEPARTMENT OF MATHEMATICS, CVRCE

6. Taking Laplace transform of (2) we get Solution of System of Differential Equations Using Laplace Transform DEPARTMENT OF MATHEMATICS, CVRCE

7. Solution of System of Differential Equations Using Laplace Transform Taking inverse laplace transform of (7) we get DEPARTMENT OF MATHEMATICS, CVRCE

8. Taking inverse laplace transform of (8) we get Solution of System of Differential Equations Using Laplace Transform DEPARTMENT OF MATHEMATICS, CVRCE

9. 2. Solve the system of differential equation using Laplace transformation Solution of System of Differential Equations Using Laplace Transform Solution: The given system is DEPARTMENT OF MATHEMATICS, CVRCE

10. Solution of System of Differential Equations Using Laplace Transform DEPARTMENT OF MATHEMATICS, CVRCE Taking Laplace transform of (1) we get

11. Solution of System of Differential Equations Using Laplace Transform Taking Laplace transform of (1) we get DEPARTMENT OF MATHEMATICS, CVRCE

12. Solution of System of Differential Equations Using Laplace Transform DEPARTMENT OF MATHEMATICS, CVRCE

13. Solution of System of Differential Equations Using Laplace Transform DEPARTMENT OF MATHEMATICS, CVRCE

14. Solution of System of Differential Equations Using Laplace Transform

15. DEPARTMEN T OF MATHEMATI CS, CVRCE Solution of System of Differential Equations Using Laplace Transform Taking inverse laplace transform of (10) we get Taking inverse laplace transform of (9) we get

16. 3. Solve the system of differential equation using Laplace transformation. DEPARTMENT OF MATHEMATICS, CVRCE Solution of System of Differential Equations Using Laplace Transform Solution: The given system is

17. Solution: Taking Laplace transform of (1) we get Solution of System of Differential Equations Using Laplace Transform DEPARTMENT OF MATHEMATICS, CVRCE

18. Solution: Taking Laplace transform of (1) we get Solution of System of Differential Equations Using Laplace Transform DEPARTMENT OF MATHEMATICS, CVRCE

19. Solution of System of Differential Equations Using Laplace Transform DEPARTMENT OF MATHEMATICS, CVRCE

20. Applying (7) in (6) we get Solution of System of Differential Equations Using Laplace Transform DEPARTMENT OF MATHEMATICS, CVRCE

21. Solution of System of Differential Equations Using Laplace Transform Taking inverse laplace transform of (8) we get DEPARTMENT OF MATHEMATICS, CVRCE

22. Solution of System of Differential Equations Using Laplace Transform DEPARTMENT OF MATHEMATICS, CVRCE Taking inverse laplace transform of (7) we get

23. Solution of System of Differential Equations Using Laplace Transform

24. Assignment Solution of System of Differential Equations Using Laplace Transform