$1($a$)$ Write the most generalized vector form of the governing equations $($which can be used for any coordinate

system$)$ for a laminar parallel flow over a flat plate.

$($b$)$ Starting from these generalized vector forms of the governing equations, derive the most simplified form

of the governing equations applicable within the boundary layer $($using the boundary layer approximations$)$

produced during a steady $2$D laminar incompressible flow $($with negligible gravity and other body force$)$ over

a flat plate.

$($c$)$ Using suitable similarity variables, transform those simplified forms of the governing equations into a

single ordinary differential equation.