Differential Equations Exam Review (6 of 6) - Review 5 L29-L32 1 Solve the initial value problem by using the Laplace transform = 0 y 0 1 y 0 =(a y 2 y

# Differential Equations Exam Review (6 of 6) - Review 5...

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1 Review 5: L29-L32 1.Solve the initial value problem by using the Laplace transform: (a) 2yyyt′′+=, ( )( )00,01yy(b) cos2wwt′′+=02wπ=, 12wπ=(c) 3ytyyt′′+=( )( )00,00yy2.(a) Sketch the graph of the piecewise continuous function and express it in terms of the unit step function. = = (b) Find L( ){}( )fts . 3.Find the following transforms: (a)L141(2)ses(b) L1421sess+(c) L1248ssess+(d) L12168sess+4.(a) Represent ( )g tin terms of the unit step functions and determine L ( ){}( )0,011,120,2tg ttt<<=<<>(b) Use part (a) to solve the initial value problem: ( )4yyg t′′+=( )( )00,01yy=. 5.(a) Represent ( )g tin terms of the unit step functions and determine L ( ){}g t( ),012,120,2ttg tttt<<=<<>(b) Use part (a) to solve the initial value problem: ( )4yyg t′′+=, ( )( )01,00yy= 4 3 2 g t : .