determine the constants a&b so that y=x(a sin3x + b cos 3x)wll satisfy identically the differential equation d2y/dx2+9y=6sin 3x
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people usually use logic in math and math in logic
Mathematical logic is a branch of mathematics which brings together formal logic and mathematics. Mathematical logic entails formal systems for defining the basics and then using the deductive power of logic to develop a system of formal proofs.
I love solving logic problems and puzzles.
formal is just study of logic with purely formal content and material is the branch of logic that focuses the content of reasoning.
Boolean Algebra is the study of the algebra of logic whilst Mathematical logic is a way of applying Boolean algebra. Other applications include set theory, digital logic and probability.