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
Lerok [7]
3 years ago
14

(1+x^2)dy/dx+2xy-4x^2=0 bu using Bernoulli's Equation

Mathematics
1 answer:
erastovalidia [21]3 years ago
7 0
Not of Bernoulli type, but still linear.

(1+x^2)\dfrac{\mathrm dy}{\mathrm dx}+2xy=4x^2

There's no need to find an integrating factor, since the left hand side already represents a derivative:

\dfrac{\mathrm d}{\mathrm dx}[(1+x^2)y]=(1+x^2)\dfrac{\mathrm dy}{\mathrm dx}+2xy

So, you have

\dfrac{\mathrm d}{\mathrm dx}[(1+x^2)y]=4x^2

and integrating both sides with respect to x yields

(1+x^2)y=\displaystyle\int4x^2\,\mathrm dx
(1+x^2)y=\dfrac43x^3+C
y=\dfrac{4x^3}{3(1+x^2)}+\dfrac C{1+x^2}
You might be interested in
7/10 as a percentage
Darya [45]

Answer:

70 percent. good luck. have a great day

5 0
3 years ago
Read 2 more answers
Factor the expression. 48g2 – 22gh – 15h2
IrinaVladis [17]
It’s B because it’s the right answer
8 0
3 years ago
Read 2 more answers
If f(X) = x^2 + 3x + 5, what is f(a+h)?
viva [34]

Answer:

The answer is b.

Step-by-step explanation:

5 0
3 years ago
Which expression simplifies to 41? Choose all that apply!
Arada [10]

Answer:

None of the expressions is simplified to 41.

Step-by-step explanation:

You have to follow the P.E.M.D.A.S., this is:

P:Parentheses first.

E:Exponent next.

M:Multiplication.

D:Division.

(Multiplication and Division is whichever come first, from left to right)

A: Addition.

S: Subtraction.

(Addition and Subtraction is whichever come first, from left to right).

<u><em>We are going to analyze every option:</em></u>

1. 10+ 2.4 - 1

First we have to solve the multiplication:

10+ 2.4 - 1=10+8-1

Now we have to solve the addition and subtraction from left to right:

10+8-1=18-1=17\neq 41

This is not a correct answer.

2. 10+2.(4-1)

We have to solve the parentheses first:

10+2.(4-1)=10+2.(3)

Now the multiplication and then the addition.

10+2.(3)=10+6=16\neq 41

This is not a correct answer.

3. (10+23).4-1

We have to solve the parentheses first:

(10+23).4-1=(33).4-1

Now the multiplication and then the subtraction:

(33).4-1=132-1=131\neq 41

This is not a correct option.

4. 10+(2^2.4)-1

We have to solve the parentheses first, in the parenthesis first we have to solve: 2^2 and then do the multiplication.

10+(2^2.4)-1=10+(4.4)-1=10+16-1

Now we have to solve the addition and subtraction from left to right:

10+16-1=26-1=25\neq 41

This expression is not a correct option.

Then none of the expressions is simplified to 41.

5 0
3 years ago
What is the solution to the system of equations represented by these two lines?
quester [9]
The answer for this is A.(3,1).
hope this helps

5 0
3 years ago
Other questions:
  • Simplify: –3(y + 2)2 – 5 + 6y What is the simplified product in standard form? y2 + y +
    5·3 answers
  • Six x plus nine over nine equals negative five
    10·1 answer
  • The tables below show the values of f(x) and g(x) for different values of x:
    5·1 answer
  • Sasha is dividing 1/4 pound of peanuts into 5 plastic bags. What fraction of a pound of peanuts will be in each plastic bag?
    10·1 answer
  • All sides of quadrilateral ABCD are tangent to circle P.
    13·1 answer
  • I’ll give the brainliest whoever helps me
    8·1 answer
  • Points (−6, 3) and (−6, −3) on the coordinate grid below show the positions of two dogs at a park:
    10·1 answer
  • Write the equation in standard form. Y=x+1
    9·1 answer
  • What fraction of 60 is the number 18?
    7·1 answer
  • I WILL GIVE BRAINILEST!!!!
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!