- #1
MathNerd
I know that there is a general analytic method to solve the following non-linear differential equation
[tex]
\frac {dy} {dx} = ay^2 + by + c
[/tex]
… where a, b and c are constants. It is just a Riccati equation generalized to constant coefficients. I am wondering if there is a analytic method to solve the following non-linear differential equation where a, b, c and d are constants…
[tex]
\frac {dy} {dx} = ay^3 + by^2 + cy + d
[/tex]
Thanks in advanced.
[tex]
\frac {dy} {dx} = ay^2 + by + c
[/tex]
… where a, b and c are constants. It is just a Riccati equation generalized to constant coefficients. I am wondering if there is a analytic method to solve the following non-linear differential equation where a, b, c and d are constants…
[tex]
\frac {dy} {dx} = ay^3 + by^2 + cy + d
[/tex]
Thanks in advanced.
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