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
tiny-mole [99]
3 years ago
8

Since f(x, y) = 1 + y2 and "∂f/∂y" = 2y are continuous everywhere, the region r in theorem 1.2.1 can be taken to be the entire x

y-plane. use the family of solutions in part (a) to find an explicit solution of the first-order initial-value problem y' = 1 + y2, y(0) = 0.
Mathematics
1 answer:
slega [8]3 years ago
4 0

Answer:

The solution to the differential equation

y' = 1 + y²

is

y = tan x

Step-by-step explanation:

Given the differential equation

y' = 1 + y²

This can be written as

dy/dx = 1 + y²

Separate the variables

dy/(1 + y²) = dx

Integrate both sides

tan^(-1)y = x + c

y = tan(x+c)

Using the initial condition

y(0) = 0

0 = tan(0 + c)

tan c = 0

c = tan^(-1) 0 = 0

y = tan x

You might be interested in
At the yard sale,3\4 of items for sale were toys and 5\6 of the items for sale were books Were there more toys of books for sale
Vesnalui [34]

Answer:

No, the books had more sales by 5/6 being bigger (Greater Than) than 3/4.

5 0
3 years ago
Simplify.<br> -3(2x - 2) + 4<br><br> pls and thank you
Mila [183]
-6x+10 would be ur answer :)
5 0
2 years ago
Read 2 more answers
Least common multiple of 8 and 56??
scoray [572]

Answer:

56

Step-by-step explanation:

8x7=56

56x1=56

5 0
3 years ago
Use the equation n^2+n=56 to determine which figure has 56 blocks
Ivahew [28]

Answer:

Figure 7 has 56 blocks

Step-by-step explanation:

On edgunity I got it right

4 0
3 years ago
Read 2 more answers
A.(0,-3)<br> B.(3,0)<br> C.(0,3)<br> D.(-3,0) <br> Help please
Vinvika [58]

Answer:

Step-by-step explanation:

the solution to the system

= find the intersection of two lines

method( one )

solve the equations ( find(x , y) )

( 1 ) y = -x +3

( 2 ) y = x - 3

now , we let ( 1 ) + (2 )

we have 2y =0  ,thus y = 0

from ( 1 ) y = - x +3 , we know y = 0  ,

we rewrite ( 1 ) as 0 = -x + 3,thus x = 3

method( two)

see the intersection point of two lines

so the ans is B.(3 , 0)

6 0
2 years ago
Other questions:
  • What is the answer to number 18?
    9·2 answers
  • These are so hard for me​
    7·1 answer
  • two numbers have these properties, both numbers are greater than 8. Their highest common factor is 8. their lowest common muliti
    7·1 answer
  • Hi I was a little confused on dilation can anyone help me (will mark Brainly)
    14·1 answer
  • Find the missing angle.
    6·1 answer
  • 2x-8=x+17<br> I need help
    5·2 answers
  • A square table 4 feet on each side has two drop leaves, each a semicircle 4 feet in diameter.
    12·1 answer
  • The angles shown below are supplementary:
    8·1 answer
  • Given that ƒ(x) = 3x, identify the function g(x) shown in the figure.
    6·1 answer
  • Hardest math question ever
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!