Sharma_MAT_275_ONLINE_B_Summer_2019.earena.Section_6.2_Solution_of_I.V.P.pdf

• 5
• 50% (4) 2 out of 4 people found this document helpful

This preview shows page 1 - 3 out of 5 pages.

The preview shows page 1 - 3 out of 5 pages.
Elizabeth ArenaSharmaMAT275ONLINEBSummer2019Assignment Section6.2SolutionofI.V.P due 08/08/2019 at 11:59pm MST1.(1 point)Find the inverse Laplace transformf(t) =L-1{F(s)}ofF(s) =7s+3sy(t) =.3.(1 point)(4) Now by inverting the transform, findy(t) =.
Use the Laplace transform to solve the following initial valueproblem:y00+3y0-28y=0y(0) =-2,y0(0) =3(1) First, usingYfor the Laplace transform ofy(t), i.e.,Y=L{y(t)}, find the equation you get by taking theLaplace transform of the differential equation=0(2) Now solve forY(s) =(3) Write the above answer in its partial fraction decompo-sition,Y(s) =As+a+Bs+bwherea<bY(s) =+4.(1 point)Use the Laplace transform to solve the following initial valueproblem:y00+5y0=0y(0) =-1,y0(0) =-4(1) UsingYfor the Laplace transform ofy(t), i.e.,Y=L{y(t)},find the equation you get by taking theLaplace transform of the differential equation=0(2) Now solve forY(s) =(3) Write the above answer in its partial fraction decompo-sition,Y(s) =As+a+Bs+bwherea<bY(s) =+1
(4) Now by inverting the transform, findy(t) =.

Course Hero member to access this document

Course Hero member to access this document

End of preview. Want to read all 5 pages?