Question

Write the given saferential equation in the form L(y)=g(x), where L is a linear differential operator with constant coeftidents. If possible, factor L (Use O for the differential operaton) y⁴

+by=3

Answer 1

The given differential equation cannot be written in the form L(y)=g(x) because we cannot factor the linear differential operator without knowing the value of b.

Step-by-step explanation:

To write the given differential equation in the form L(y)=g(x), we need to identify the linear differential operator L and the function g(x). The given equation is y⁴ + by = 3. We can rewrite this equation as y⁴ + by - 3 = 0. To factor the linear differential operator L, we need to find the roots of this polynomial equation. Unfortunately, without knowing the value of b, we cannot factor L. Therefore, we cannot write the given differential equation in the form L(y)=g(x).