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Real Distinct Eigenvalues
Under this case we'll have the real, distinct eigenvalues l1 ≠l2≠l3 a and their related eigenvectors, ?h1 , ?h2 and ?h3 are guaranteed to be linearly independent and therefore the three linearly independent solutions we find from this case are,
el1t ?h1, el2t ?h2, el3t ?h3
Example : Find the general solution to the subsequent differential equation. x 2 y′′ - 7 xy′ + 16 y= 0 Solution First the roots of (3) r (r -1) - 7r + 16= 0 r 2
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1. CMP and SUB CMP is used for comparing 2 registers by subtraction them from one another, but answer is not saved, whereas SUB subtracts 2 registers and saves the answer.
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