Exercise 0.2.9 : verify that x = c 1 e − t + c 2 e 2 t is a solution to x ′′ − x ′ − 2 x = 0 . find c 1 and c 2 to solve for the initial conditions x (0) = 10 and x ′ (0) = 0 .

Since 2 and -1 are eigenvalues of the differential equation,

is a solution to the differential equation

-----------------------------------------------------------

The solution to the initial value problem is:

Step-by-step explanation:

We have the following differential equation:

The first step is finding the eigenvalues for this differential equation, that is, finding the roots of the following second order equation:

Since 2 and -1 are eigenvalues of the differential equation,

is a solution to the differential equation.

Solution of the initial value problem:

---------------------

So, we have to solve the following system:

The solution to the initial value problem is:

56

step-by-step explanation:

image result for what is another name for consecutive interior angles? ​

when two lines are crossed by another line (called the transversal): the pairs of angles on one side of the transversal but inside the two lines are called consecutive interior angles. in this example, these are consecutive interior angles: d and f.

step-by-step explanation: