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- Thread starter LagrangeEuler
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In summary, a Laplace transform can be applied to a differential equation of finite order to obtain an algebraic equation. This is only valid for differential equations with constant coefficients. An example of this transformation is the equation ##y''(t)+\sin(t)y(t)=0## with initial conditions ##y(0)=A## and ##y'(0)=B##. However, it is not clear why one would want to do this or if it is valid in all cases.

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A laplace transform turns a differential equation into an algebraic equation.

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It is only in the case when you have a differential equation with constant coefficients.pasmith said:A laplace transform turns a differential equation into an algebraic equation.

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Do you have an example in mind?

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