What is the solution for d(t)=6000000*4^{-0.15*5} ?

The solution for d(t)=6000000*4^{-0.15*5} is t(x)=c_{1}+2121320.34355…x

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d(t)=60000004^{-0.155}

d (t) = 6000000 \cdot 4^{- 0.15 \cdot 5}

t (x) = c_{1} + 2121320.34355 \dots x

Solution steps

d t (x) = 6000000 \cdot 4^{- 0.15 \cdot 5}

Solve linear ODE:

t (x) = c_{1} + 2121320.34355 \dots x

t (x) = c_{1} + 2121320.34355 \dots x

y^{^{''}} - 4 y = e^{2 x} \frac{1}{x}

y^{^{''}} - 3 y^{^{'}} + y = 2 e^{3 t}, y (0) = 0, y^{^{'}} (0) = 4

y^{^{''}} + 3 y^{^{'}} + 2 y = 6 e^{2 t}

y^{^{'''}} + 2 y^{^{''}} - 11 y^{^{'}} - 12 y = 4

y^{^{''}} + y^{^{'}} - 42 y = - 130 t + 84 t^{2}

What is the solution for d(t)=6000000*4^{-0.15*5} ?
The solution for d(t)=6000000*4^{-0.15*5} is t(x)=c_{1}+2121320.34355…x