4) Laplace Transform and Solving second order LinearDifferential Equations with Applications The Laplace transform of afunction, transform of a derivative, transform of the secondderivative, transform of an integral, table of Laplace transformfor simple functions, the inverse Laplace transform, solving firstorder linear differential equations by the Laplace transform

Applications: a) Series RLC circuit with dc source b) Dampedmotion of an object in a fluid [mechanical, electromechanical] c)Forced Oscillations [mechanical, electromechanical]

You should build the theory portion of your report on what youhave learned in the math courses including Mathematics 1, AppliedMathematics, Differential calculus and Integral Calculus. Anyadditional material you need in order to begin or complete yourproject must be included and discussed within the report. Specialattention is paid to the consistency of the derivation of formulaeand concepts in your report. Once the mathematical foundations arelaid in a proper way, you need to introduce the topic you have beenassigned from your program where the mathematical concepts you haveexplored are applied. It is important you support your derivationsand conclusions by real world engineering applications