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

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

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the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation: