## In some instances the Laplace transform can be used to solve linear differential equations with variable monomial coefficients. Use Theorem 7.4.1.

In some instances the Laplace transform can be used to solve linear differential equations with variable monomial coefficients. Use Theorem 7.4.1. THEOREM 7.4.1 Derivatives of TransformsIf F(s) = ℒ{f(t)} and n = 1, 2, 3, , thenℒ{tnf(t)} = (−1)n dn dsn F(s). Reduce the given differential equation to a linear first-order DE in the transformed function Y(s) …

## In some instances the Laplace transform can be used to solve linear differential equations with variable monomial coefficients. Use Theorem 7.4.1.

In some instances the Laplace transform can be used to solve linear differential equations with variable monomial coefficients. Use Theorem 7.4.1. THEOREM 7.4.1 Derivatives of TransformsIf F(s) ={f(t)} and n = 1, 2, 3,, then{tnf(t)} = (−1)n dn dsn F(s). Reduce the given differential equation to a linear first-order DE in the transformed function Y(s) ={y(t)}. …

## In some instances the Laplace transform can be used to solve linear differential equations with variable monomial coefficients. Use Theorem 7.4.1.

In some instances the Laplace transform can be used to solve linear differential equations with variable monomial coefficients. Use Theorem 7.4.1. THEOREM 7.4.1 Derivatives of TransformsIf F(s) ={f(t)} and n = 1, 2, 3,, then{tnf(t)} = (−1)n dn dsn F(s). Reduce the given differential equation to a linear first-order DE in the transformed function Y(s) ={y(t)}. …

## Suppose that the sick leave taken by the typical worker per year has

Suppose that the sick leave taken by the typical worker per year has = 10, = 2, measured in days. A firm has n = 30 employees. Assuming independence, how many sick days should the firm budget if the financial officer wants the probability of exceeding the number of days budgeted to be less than …