Multivariable Calculus

Consider the differential equation for a function $F : \mathbb{R} \to \mathbb{R}$:

$$\frac{\partial^4 F}{\partial t^4} + 6\frac{\partial^3 F}{\partial t^3} - 73\frac{\partial^2 F}{\partial t^2} - 246\frac{\partial F}{\partial t} + 1512F = 3063312,$$

with the initial condition

$$F(67) = 2026.$$

Give $F(t)$ in LaTeX form. For example, if $F(t)=t^2-6$, submit t^2-6.


Submit unofficially

The contest ended at 8:45 p.m. AEST on Tuesday 7th April. All submissions will be unofficial officially.

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