Answer:
3 79/100
Step-by-step explanation:
When multiplying fractions just multiply the numerator and denominators together, then simplify the fraction you get.
To solve the addition problem, first convert 2 and 1/2 to an improper fraction. It should be 5/2. Now 3/8 and 5/2 must be added together.
To add these, they must have the same denominator. Let's give 5/2 a denominator of 8, so it matches 3/8.
To give 5/2 a denominator of 8, you are starting with a denominator of 2. 2 × 4 = 8, so you must multiply 5/2 by 4.
You should get 20/8. Now you have to add 20/8 and 3/8. The only thing you add is the numerator, so you should get 23/8 as a final answer.
For the subtraction problem, do these same steps to make the fractions you must subtract have the same denominator, then subtract only the numerator to get the answer. Once you solve the subtraction problem, text me what you got so I can check it for you. :)
Answer:
Step-by-step explanation:
This is a homogeneous linear equation. So, assume a solution will be proportional to:
Now, substitute 
into the differential equation:
Using the characteristic equation:
Factor out 
Where:
Therefore the zeros must come from the polynomial:
Solving for 
:
These roots give the next solutions:
Where 
and 
are arbitrary constants. Now, the general solution is the sum of the previous solutions:
Using Euler's identity:
Redefine:
Since these are arbitrary constants
Now, let's find its derivative in order to find and
Evaluating 
:
Evaluating 
:
Finally, the solution is given by:
hope it helped. I have solved in the same paper. plz don't mind.
