Solve the equation.

StartFraction dx Over dt EndFractionequals$4$ xt Superscript $4$

Question content area bottom

Part $1$

An implicit solution in the form

$$F$($t$,$x$)$equalsC

is

enter your response hereequals$$C$,$

where C is an arbitrary constant.

$($Type an expression using t and x as the variables. Use parentheses to clearly denote the argument of each$$ function.$)$