# Find the solution of the given initial value problem. ty' + 6y = t2 − t + 1, y(1) = 1 6 , t > 0

1 answer

###### Question:

Find the solution of the given initial value problem. ty' + 6y = t2 − t + 1, y(1) = 1 6 , t > 0

## Answers

Answer:Step-by-step explanation:Given is a differential equation as[tex]ty' + 6y = t^2 - t + 1, y(1) = 1 6 , t > 0[/tex]Divide this by t to get in linear form[tex]y'+6y/t = t-1+1/t[/tex]This is of the form y' +p(t) y = Q(t)where p(t) = 1/t[tex]e^(\int 1/tdt) = t[/tex]So solution would be[tex]yt = \int t^2-t+1 dt\\= t^3/3-t^2/2+t+C[/tex]siubstitute y(1) = 16[tex]16 = 16^3/3-128+1+C\\C = -1206[/tex]

#### Similar Solved Questions

1 answer

### The 9 kg block is then released and accelerates to the right, toward the 5 kg block. The surface is rough and the coefficient of friction between each block and the surface is 0.4 . The two blocks collide, stick together, and move to the right. Remember that the spring is not attached to the 9 kg block. Find the speed of the 9 kg block just before it collides with the 5 kg block. Answer in units of m/s

The 9 kg block is then released and accelerates to the right, toward the 5 kg block. The surface is rough and the coefficient of friction between each block and the surface is 0.4 . The two blocks collide, stick together, and move to the right. Remember that the spring is not attached to the 9 kg bl...

1 answer

### RIGHT ANSWER ONLY! What is the probability that a point chosen inside the large rectangle is not in the shaded region? 42% 58% 72% 84%

RIGHT ANSWER ONLY!
What is the probability that a point chosen inside the large rectangle is not in the shaded region?
42%
58%
72%
84%...

1 answer

### Is Utah a formal region or a functional region?

Is Utah a formal region or a functional region?...

2 answers

### Samaria has 6 more than three times as many pieces of candy as Sydney. Samaria has 36 pieces of candy. How many does Sydney have?

Samaria has 6 more than three times as many pieces of candy as Sydney. Samaria has 36 pieces of candy. How many does Sydney have?...

1 answer

### Ou et combien de temps l'histoire des misérables dure t elle ( citez les dates ) ?

Ou et combien de temps l'histoire des misérables dure t elle ( citez les dates ) ?...

2 answers

### Anyone knows the answer?? Will give brainliest of RIGHT!!!

Anyone knows the answer?? Will give brainliest of RIGHT!!!...

1 answer

### A crane lifts a pallet of concrete blocks 8 feet from the back of a truck. The truck drives away and the crane lowers the pallet 13 feet. What is the final position of the pallet relative to where it started in the back of the truck?

A crane lifts a pallet of concrete blocks 8 feet from the back of a truck. The truck drives away and the crane lowers the pallet 13 feet. What is the final position of the pallet relative to where it started in the back of the truck?...

1 answer

### Two flywheels of negligible mass and different radii are bonded together and rotate about a common axis (see below). The smaller flywheel of radius 28 cm has a cord that has a pulling force of 50 N on it. What pulling force (in N) needs to be applied to the cord connecting the larger flywheel of radius 48 cm such that the combination does not rotate

Two flywheels of negligible mass and different radii are bonded together and rotate about a common axis (see below). The smaller flywheel of radius 28 cm has a cord that has a pulling force of 50 N on it. What pulling force (in N) needs to be applied to the cord connecting the larger flywheel of rad...

1 answer

### Lines M and P Are perpendicular if the slope of line m Is -3 what is the slope of line P

Lines M and P Are perpendicular if the slope of line m Is -3 what is the slope of line P...

2 answers

### All systems have ___________. Answers: A. Output and Feedback. B. Process and Function. C. Input, Process, and Output. D. Input, Output, and Sensors.

All systems have ___________.
Answers:
A. Output and Feedback.
B. Process and Function.
C. Input, Process, and Output.
D. Input, Output, and Sensors....

1 answer

### How do you solve 657 divided by 3 using partial quotients

How do you solve 657 divided by 3 using partial quotients...

1 answer

### Please help, will give brainliest!(please explain how as well)

please help, will give brainliest!(please explain how as well)...

1 answer

### Writing an Autobiographical Narrative Use your story map to write your autobiographical narrative. Your narrative should be written in the first person, meaning from your point of view. It should also include a beginning, a middle, and an ending and be from 500 to 700 words long I'll give 100 points but there some steps you have to do. And I'll mark brainliest. Sorry I’m kinda busy and I won’t have time to do it family problems.

writing an Autobiographical Narrative
Use your story map to write your autobiographical narrative. Your narrative should be written in the first person, meaning from your
point of view. It should also include a beginning, a middle, and an ending and be from 500 to 700 words long
I'll give 100 points...

1 answer

### What is the nickname of the area between the Tigris and Euphrates rivers which encouraged the first human settlements? A) Fertile CrescentB) Horticulture's Hoop C) Arable Angle D) Zagros Mountains E) Arabian Desert

What is the nickname of the area between the Tigris and Euphrates rivers which encouraged the first human settlements? A) Fertile CrescentB) Horticulture's Hoop C) Arable Angle D) Zagros Mountains E) Arabian Desert ...

1 answer

### Give the two ways nitrogen can be fixated so plants can use it to grow.

Give the two ways nitrogen can be fixated so plants can use it to grow....

1 answer

### Enjoyed the strong support of President Andrew Johnson in its work on behalf of civil rights. won much southern white support because it consistently supported the planters in disputes with former slaves. made notable achievements in improving African American-American education and healthcare. carried out a successful program of distributing land to every former slave family. was badly administered because director O.O. Howard lacked military experience.

enjoyed the strong support of President Andrew Johnson in its work on behalf of civil rights. won much southern white support because it consistently supported the planters in disputes with former slaves. made notable achievements in improving African American-American education and healthcare. carr...

1 answer

### Question 2 of 9 12 + (17 + 1) = (12 +17) + 1 A. True B. False SUBMIT

Question 2 of 9
12 + (17 + 1) = (12 +17) + 1
A. True
B. False
SUBMIT...