ode can be made Integrable F(x,y,y′′) = 0

4.7 ode can be made Integrable \(F\left ( x,y,y^{\prime \prime }\right ) =0\)

4.7.1 Example \(2y^{\prime \prime }-e^{y}=0\)
4.7.2 Example \(x^{\prime \prime }\left ( t\right ) =x\left ( t\right ) -x^{3}\left ( t\right ) \)

ode internal name "second_order_ode_can_be_made_integrable"

Can be linear or nonlinear. These are ode’s which become integrable if both sides are multiplied by \(y^{\prime }\). For this method to have chance of working, the original ode must not have \(y^{\prime }\) already in it.

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