How do I use Wolframalpha to solve this for me?

  • Thread starter flyingpig
  • Start date
In summary, the conversation discusses the use of Wolframalpha to solve ODEs and the use of correct notation. The individual also mentions using Wolframalpha to solve problems for which they do not have the solutions. They do not self-study but use computers to replace solutions they do not have.
  • #1
flyingpig
2,579
1

Homework Statement

i can solve them myself, but sometimes I am just lazy.

How do you make Wolframalpha solve these exact, non-exact, other ODEs?

Ex.

[tex]2y^2 + 2y + 4x^2 + (2xy + x)y' = 0[/tex]

I tried using

DSolve[{(2*y[x]^2 + 2y[x] + 4x^2) + (2xy[x] + x)y'[x] = 0 }, y[x], x]

Not working?Problem

Solve [tex]2y^2 + 2y + 4x^2 + (2xy + x)y' = 0[/tex]

Work

[tex]\frac{\partial }{\partial y}(2y^2 + 2y + 4x^2) = 4y + 2[/tex]

[tex]\frac{\partial }{\partial x}(2xy + x) = 2y + 1[/tex]

[tex]\frac{4y+2-2y - 1}{2xy + x} = \frac{2y+1}{x(2y+1)} = \frac{1}{x}[/tex]

Then clearly the integrating factor is [tex]\mu (x) = x[/tex]

Now my question is, what is the solution that is lost? Is it y = -1/2? Because of [tex]\frac{2y+1}{x(2y+1)}[/tex]?
 
Last edited:
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  • #2
The good thing about wolfram|alpha is that you don't need to use correct notation. I just typed in "solve 2y^2+2y+4x^2+(2xy+x)dy/dx=0" and it worked.
 
  • #3
How do you make it show your solutions implicity?
 
  • #4
Do you tell your teacher that you use Wolfram alpha to solve homework problems?
 
  • #5
HallsofIvy said:
Do you tell your teacher that you use Wolfram alpha to solve homework problems?

No self-studying right now, but I use it for problems that I don't have the solutions to. The instructor manual I got for some reason only has even solutions.

That's why I am using computers to replace them now lol
 

1. How do I input my problem into Wolframalpha?

To input your problem, you can simply type it into the search bar on the Wolframalpha homepage. You can also use the "Ask a question" feature or click on the "Examples" tab to see a list of common problems that can be solved using Wolframalpha.

2. Does Wolframalpha only work for math problems?

No, Wolframalpha can solve a wide range of problems in various subjects such as math, science, engineering, finance, linguistics, and more. It can also provide information on topics like weather, geography, and history.

3. Can Wolframalpha solve complex problems with multiple variables?

Yes, Wolframalpha can handle complex problems with multiple variables and equations. It uses advanced algorithms and computational methods to solve even the most intricate problems.

4. How accurate are the results provided by Wolframalpha?

Wolframalpha uses data from reliable sources and advanced algorithms to provide accurate results. However, it is always important to double-check your work and understand the steps taken by Wolframalpha to arrive at the solution.

5. Is Wolframalpha free to use?

Wolframalpha offers a free version that allows users to input and solve basic problems. However, for more advanced features and capabilities, a paid subscription is required. Students and educators may also have access to Wolframalpha through their school or university.

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