Answer:

Step-by-step explanation:
The general solution will be the sum of the complementary solution and the particular solution:

In order to find the complementary solution you need to solve:

Using the characteristic equation, we may have three cases:
Real roots:

Repeated roots:

Complex roots:

Hence:

Solving for
:

Since we got complex roots, the complementary solution will be given by:

Now using undetermined coefficients, the particular solution is of the form:

Note:
was multiplied by x to account for
and
in the complementary solution.
Find the second derivative of
in order to find the constants
and
:

Substitute the particular solution into the differential equation:

Simplifying:

Equate the coefficients of
and
on both sides of the equation:

So:

Substitute the value of the constants into the particular equation:

Therefore, the general solution is:


Answer:
2(1x1-16)
Step-by-step explanation:
1. Find the gcf (greatest common factor) which is 2
2. Divide by each of the factors and put it inside of the parentheses
Answer:
The answer is 16
Step-by-step explanation:
X^3=64
Y^2=4
so 64 divided by 4 is 16
Answer:
2.5
Step-by-step explanation: