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MBA IT, Mater in Science and Technology
Devry
Jul-1996 - Jul-2000
Professor
Devry University
Mar-2010 - Oct-2016
Hello friend, this is supposed to be a short little quiz, if you could help me with. I have a short deadline for this, I doubt it will take you very long. It would take me hours lol
1) Find the general solution of the following ODE: y ' - y = 0
2) Find the general solution for the following ODE: y ' +3x^2 y= 9x^2 then verify your solution by taking the appropriate derivatives and substituting back into the original ODE.
3)Find the particular solution to the ODE in the preceding problem using the following initial condition: y(0)=7
4)Using the method of Runge-Kutta, find an approximate solution to the ODE y ' = x+y , that passes through P(2,1), using stepsize 0.5 for four steps.
5) Find the Laplace transform of the following function: f( t ) = e^ -3t
6) Express the transform of the following in terms of s and L(f) : y'' + 3 y ' - 2y , f(0)= - 2 , f ' (x)= 4
7) Find the inverse Laplace transform of the following: F(S) = 6 / ( S^2 + 9 )
8) Solve the following ODE by utilizing Laplace and inverse Laplace transforms: y ' + y = e^ - t , f(0) = 2
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