Missing dependent variable \(y\left ( x\right ) \)
Example 1
Example 2

ode internal name "second_order_ode_missing_y"

Given\[ y^{\prime \prime }+F\left ( x\right ) f\left ( y^{\prime }\right ) +g\left ( x\right ) =0 \] Let \(p=y^{\prime }\) then \(y^{\prime \prime }=p^{\prime }\). Hence the ode becomes\[ p^{\prime }+F\left ( x\right ) f\left ( p\right ) +g\left ( x\right ) =0 \] Which is first order ode.