Answer:
Step-by-step explanation:
DE given is
y''+8y'+15y=0, y(0)=0, y'(0)=1
Take Laplace on the DE
We get

Simplify to get
Y(s) = ![\frac{1}{2}[ {\frac{1}{s+3} -\frac{1}{s+5} }]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5B%20%7B%5Cfrac%7B1%7D%7Bs%2B3%7D%20-%5Cfrac%7B1%7D%7Bs%2B5%7D%20%7D%5D)
Take inverse

Answer:
Step-by-step explanation:
<u>Let the integers be:</u>
- n, n + 1, n + 2 and n + 3
<u>Their sum is 114:</u>
- n + n + 1 + n + 2 + n + 3 = 114
<u>Solving for n:</u>
- 4n + 6 = 114
- 4n = 108
- n = 108/4
- n = 27
<u>The numbers are:</u> 27, 28, 29 and 30
Answer:
4
Step-by-step explanation:
5 is an integer as well as a whole number. A whole number is one which has no fraction with it. And clearly, 5 is a positive integer. Hence, option 4 is correct that is 5 is a integer and a whole