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

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

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

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

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

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

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

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

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

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

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

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

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

Solution of System of Differential Equations Using Laplace Transform

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

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

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

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

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

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

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

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

Solution of System of Differential Equations Using Laplace Transform

Assignment Solution of System of Differential Equations Using Laplace Transform