4.3.1.1 Quadrature ode \(y^{\prime \prime }=f\left ( x\right ) \)

ode internal name "second order ode quadrature"

Solved by integration twice. \(y^{\prime }=\int fdx+c_{1}\) and \(y=\int \left ( \int fdx\right ) dx+c_{1}x+c_{2}\)