Solve \(\frac { { d }^{ 2 }y }{ d{ x }^{ 2 } } -4\frac { dy }{ dx } +5y\) = 0

Solve the following differential equations
\(\frac { { d }^{ 2 }y }{ d{ x }^{ 2 } } -4\frac { dy }{ dx } +4y=0\)

Solve the following differential equations
\(\frac{d^2 y}{dx^2}-2k\frac{dy}{dx}+k^2y = 0\)

A manufacturing company has found that the cost C of operating and maintaining the equipment is related to the length ‘m’ of intervals between overhauls by the equation m²\(\frac{dC}{dm}\) + 2mC = 2 and c = 4 and when m = 2. Find the relationship between C and m.

Find the order and degree of the following differential equations.
\(\frac { { d }^{ 3 }y }{ d{ x }^{ 3 } } =0\)