a)Find the solution of The following in the forum of Laguerre polynomials $D(xy') - xDy = -3y$ where D is differential operator.
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Step 1: We can rewrite the given equation as follows: $$D(xy') - xDy = -3y$$ $$xDy' + y - xDy = -3y$$ $$xDy' - xDy = -4y$$ $$x(Dy' - Dy) = -4y$$ $$Dy' - Dy = -\frac{4}{x}y$$ Show more…
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