Correct Solution to the Differential Equation?

AI Thread Summary
The discussion centers on solving the differential equation 2x(1+y) dx/dy = 8 + x^2, with the initial condition x = 2 when y = 3. The original poster expresses uncertainty about their solution and seeks guidance on potential errors. They suggest rearranging the equation to separate variables, leading to the form (2x/(8+x^2))dx = (dy/(1+y)). The poster believes their approach is correct after revising the link to their solution. The conversation emphasizes the importance of proper rearrangement and variable separation in solving differential equations.
mcintyre_ie
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Hey,
I'd appreciate any help you can give with this question – I've already tried it but I don’t think my solution is correct. Any advice on where (or if) I went wrong?
Thanks in advance

The Question:
Solve the differential equation:

2x(1+y) dx/dy = 8 + x^2
if x = 2 when y = 3

My solution:
Solution
(Revised link)
 
Last edited:
Physics news on Phys.org
The link doesn't allow me to access Still
u have
2x(1+y)dx/dy=8+x^2
It requires rearrangement

so u have
\frac{2x}{8+x^2}dx=\frac{dy}{1+y}
Hope u will take it from here
 
Sorry about the bad link, i think I've fixed it now though.
 
Yup it is correct
 

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