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Suppose the characteristic roots of a linear, constant-coefficient, homogeneous, second-order equation are complex numbers a+ib and a-ib  with b nonzero. Match properties of a and b with properties of the solutions.

Peasants who survived the Black Death were often in a position to 

If r = 2 is a repeated characteristic value of ay” + by’ + cy = 0, then the general solution of the equation is

The Laplace transform changes a linear, constant-coefficient differential equation into an algebraic equation.

Evaluate for

Which of the following is associated with the Italian Renaissance?

Multiplication by the variable on the t side corresponds to differentiation on the s side, except for a minus sign.

Functions that are continuous and of exponential order have Laplace transforms.

The trauma of the Black Death surfaced periodically and inspired 

The Laplace transform of a function f is independent of the values f(t) at finitely many points t.