Find a homogeneous linear differential equation with constant coefficients whose general solution is given by y=c1e−xcosx+c2e−xsinx.

Step-by-step explanation:

Given

Required

Determine a homogeneous linear differential equation

Rewrite the expression as:

Where

and

For a homogeneous linear differential equation, the repeated value m is given as:

Substitute values for and

Add 1 to both sides

Square both sides

In complex numbers:

So, the expression becomes:

Add 1 to both sides

This corresponds to the homogeneous linear differential equation

answer: $34.31

step-by-step explanation:

$11.99 x 3 = $35.97

$35.97 - 10% = $32.37

$32.37 + 6% = $34.31