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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
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1) Find the general solution of the following ODE:Â y 'Â - y = 0
2) Find the general solution for the following ODE: y ' +3x^2 y= 9x^2Â then verify your solution by taking the appropriate derivatives and substituting back into the original ODE.
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3)Find the particular solution to the ODE in the preceding problem using the following initial condition: y(0)=7
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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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