- #1
Mr. Fest
- 37
- 1
Hello,
I have trouble solving the following differential equation.
I am trying to learn how to solve that form of DEs.
The DE is:
x2*dy/dx = y2
There are no initial-value problem, but the solution should be given such that y is defined for all x.
The most important for me is to learn how to solve this type of DE.
I tried solving it using the separable equation way.
x2*dy/dx = y2 --> dy/y2 = dx/x2 and then integrate both sides to get -1/y = -1/x + C --> -y = -x + 1/C --> y = x - 1/C but apparently this doesn't solve the equation...
Hope you guys can help me.
Thanks in advance.
Mr. Fest
I have trouble solving the following differential equation.
I am trying to learn how to solve that form of DEs.
The DE is:
x2*dy/dx = y2
There are no initial-value problem, but the solution should be given such that y is defined for all x.
The most important for me is to learn how to solve this type of DE.
I tried solving it using the separable equation way.
x2*dy/dx = y2 --> dy/y2 = dx/x2 and then integrate both sides to get -1/y = -1/x + C --> -y = -x + 1/C --> y = x - 1/C but apparently this doesn't solve the equation...
Hope you guys can help me.
Thanks in advance.
Mr. Fest