Solution by substitution

ElephantHeart123

New member
Joined
Mar 28, 2021
Messages
1
Hello,
I am starting to learn about differential equations and have been given the question:
Find the solution of the equation
2y(dx/dy)=y^2+x
given that y=0 when x=0.
I have recognised that y^2 differentiates with respect to x into 2y(dx/dy), but I am not sure how this helps. I have looked at other forums and the idea of solution by substitution seems to be quite straightforward, except in this case the substitution is not given in the question, which makes it harder.
Thanks for your help!
 
What substitution are you talking about? You need to multiply both sides by dy, set the equation equal to 0 and then ....
 
Top