17. Consider the nonhomogeneous equation: y" + by' + y = g(x) where b is a real constant. The following questions refer to your guess for yp using the method undetermined coefficients. Do not solve for the coefficients. (a) If g(x) = 3x – 1, what is the first guess for yp? (b) Identify the value of b if g(x) = 7 sin a and you need your second guess for yp. What is that gue (c) Identify the value of b if g(x) = 18e" and you need your third guess for yp. What is that guess? (d) Explain why you will never need more than three guesses.
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
I need help with (d). Please explain clearly
![17. Consider the nonhomogeneous equation:
y" + by' + y = g(x)
where b is a real constant. The following questions refer to your guess for yp using the method of
undetermined coefficients. Do not solve for the coefficients.
(a) If g(x) = 3x – 1, what is the first guess for y,?
Yp?
(b) Identify the value of b if g(x) = 7 sin x and
you
need
your second guess
for
Yp.
What is that guess?
(c) Identify the value of b if g(x) = 18e* and
you need
your third guess
for
Yp.
What is that guess?
(d) Explain why you will never need more than three guesses.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1f2030df-489c-4c06-8af8-a0bb3fa2ff8f%2F3879bf37-b573-4f38-83d9-26823c58a11d%2Faelfmlo_processed.jpeg&w=3840&q=75)
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