Question

Function F₁(t)=F(t)/(mω). [ x"+4 x'+43x=11cos6t}

Answer 1

To solve the given differential equation, define a new function F₁(t) and convert the equation.

Step-by-step explanation:

The given equation is a second-order linear homogeneous differential equation with constant coefficients:

x'' + 4x' + 43x = 11cos(6t)

To solve this equation, let's define a new function F₁(t) = F(t)/(mω). We can now rewrite the equation as:

F₁''(t) + 4F₁'(t) + 43F₁(t) = 11cos(6t)

Now, we have converted the equation from the original variable x to the new variable F₁(t).