Change of independent variable in a second-order ODE
= Change of independent variable in a second-order ODE
For $z=z(x)$, the second derivative transforms as $w_{xx}=z_x^2w_{zz}+z_{xx}w_z$.
= Change of independent variable in a second-order ODE
For $z=z(x)$, the second derivative transforms as $w_{xx}=z_x^2w_{zz}+z_{xx}w_z$.