1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
expeople1 [14]
3 years ago
5

Used use euler's method with step size 0.1 to estimate y(0.5), where y(x) is the solution of the initial-value problem y ' = y +

4xy, y(0) = 1. (round the answer to four decimal places.)
Mathematics
1 answer:
brilliants [131]3 years ago
4 0
We want to solve the Initial Value Problem y' = y + 4xy, with y(0) = 1.

To use Euler's method, define
y(i+1) = y(i) + hy'(i),  for i=0,1,2, ..., 
where
h = 0.1, the step size.,
x(i) = i*h

1st step.
y(0) = 1 (given) and x(0) = 0.
y(1) ≡ y(0.1) = y(0) + h*[4*x(0)*y(0)] = 1 

2nd step.
x(1) = 0.1
y(2) ≡ y(0.2) = y(1) + h*[4*x(1)*y(1)] = 1 + 0.1*(4*0.1*1) = 1.04

3rd step.
x(2) = 0.2
y(3) ≡ y(0.3) = y(2) + h*[4*x(2)*y(2)] = 1.04 + 0.1*(4*0.2*1.04) = 1.1232

4th step.
x(3) = 0.3
y(4) ≡ y(0.4) = y(3) + h*[4*x(3)*y(3)] = 1.1232 + 0.1*(4*0.3*1.1232) = 1.258

5th step.
x(4) = 0.4
y(5) ≡ y(0.5) = y(4) + h*[4*x(4)*y(4)] = 1.258 + 0.1*(4*0.4*1.258) = 1.4593

Answer:  y(0.5) = 1.4593
You might be interested in
PLEASE ANSWER FAST<br> answer the ones that are circled only plzzz
Sergio039 [100]
Aaaaaaaaaaaaaaaaaaaaaa

8 0
3 years ago
Is √m+n = √m + √n for all values of m and n? Explain why or why not.
lukranit [14]

Step-by-step explanation:

√(m + n) = √m + √n

Square both sides:

m + n = m + 2√(mn) + n

Simplify:

0 = 2√(mn)

mn = 0

The equation is only true if either m or n (or both) is 0.

6 0
3 years ago
Solve the following 1/2a + b<br> If a=10 b = 7 *
olga_2 [115]

Answer:

1/2 × 10 + 7

=5+7

=12

..................

3 0
2 years ago
Read 2 more answers
What is the best approximation for the area of this circle? Use 3.14 to approximate pi. 25.1 in² 50.2 in² 201.0 in² 803.8 in² Ci
Greeley [361]

Answer:

The best approximation is 201.0\ in^{2}

Step-by-step explanation:

we know that

The area of the circle is equal to

A=\pi r^{2}

In this problem we have

r=8\ in

\pi =3.14

substitute

A=(3.14)(8^{2})=201.0\ in^{2}

5 0
3 years ago
Read 2 more answers
Emily wants to determine the relationship between the number of people in a household (x) and the last 4 digits of their phone n
ANEK [815]

Answer:

it should be -0.5

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Can someone please help me on these questions?
    13·2 answers
  • A field has an area of 9/20 square mile. find the width of the fieldif the length is 10/9 mile long
    10·1 answer
  • What is the fraction in simplest form?
    8·2 answers
  • Denver, Engle and Fido are all dogs who eat differing amounts of dog food.
    14·2 answers
  • I need help with properties of rhombus, rectangles and squares ​
    9·1 answer
  • A train leaves New Delhi at 4:00 p.m. and reaches Lucknow at midnight. Its speed is 55km/h. What is the distance between Delhi a
    9·1 answer
  • the classroom has four desks in each row there are five rows how many decks five rows how many desks are in the classroom
    10·1 answer
  • How to round 106.327 to nearest hundredths explain
    15·2 answers
  • Pls help I’ll brainlest and add extra points
    8·1 answer
  • determine the volume of a rectangular container van with length,width, and height of 52m,13 m and 20m respectively.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!