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A FILM FOR PEACE FESTIVAL 4th EDITION 2009 APPLICATION FORM Name Surname Address City Country city ZIP Province E-mail Film Title Year I declare to be the Author of the above-mentioned film and to

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Right today our topic is application of Laplace transform what is Laplace transform is to transfer one variable to another the main application of Laplace transform is to solve higher order differential equation without complementary functions and particular integral generally in engineering fields like electronics and electrical become across the problem such as a differential equation to derive differential equation in such cases we come across the problems like higher order differential equation for that to solve higher order differential equation we have to find complementary function then particular in integral yeah it is very lengthy process to overcome this the lengthy process we have to take in easy manner we use we go to Laplace transform first in within our first step we have to take Laplace transforms on both sides afterwards then we have to use the formula from the Laplace derivatives of the words then within our third step we have to replace or substitute the initial conditions we have to replace the initial values okay afterwards divide the coefficient of divide the coefficient of along y Oh give it another posture take Laplace transforms on both sides then use the formula of derivatives then substitute the in shear values condition October's divide the coefficient of I love right then you have to resolve it in partial fractions if it is necessary resolve it in partial fractions if it is necessary afterwards take inverse Laplace transform inverse Laplace transform yeah first step is take Laplace transforms on both sides then use the formula afterwards substitute the initial conditions then divide the coefficient of L of Y afterwards resolve it in partial fraction if it is necessary afterwards take inverse Laplace transform and let us take one example further let to solve y double dash plus four y equal to zero with initial conditions Y of 0 equal to 2 and y dash of 0 equal to 0 further what is our first step take Laplace transform on both sides so first in my solution let the given differential equation y double dash my equal to zero let it be the equation number one then for this equation one I will take Laplace transforms on both sides that implies L of y double dash plus four y equal to L of 0 yeah next it is in the form of linearity property L of F of T plus G of T by linearity property we know that along F of T plus G of T is equal to L of F of T plus L of G of T, so I am going to replace that formula here yes this is equal to L of y double dash plus L of 4 into y equal to L of 0 yeah next as we know that here 4 is constant, so we can take it up outside so yeah this is equal to L of Y Double Dash class yeah 4 is it constant, so I am taking outside this is equal to plus 4 into L of Y, and we know that allows 0 is equal to 0, so this is equal to 0 next I have taken Laplace transforms on both sides I resolve in this manner then we have to use the formula of derivatives Laplace derivatives we know that a low point of L dash is...

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