What is the solution for (dy)/(dx)=0.4^{x/3} ?

The solution for (dy)/(dx)=0.4^{x/3} is y=-3.27407…*0.4^{x/3}+c_{1}

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(dy)/(dx)=0.4^{x/3}

\frac{d y}{d x} = 0. 4^{\frac{x}{3}}

y = - 3.27407 \dots \cdot 0. 4^{\frac{x}{3}} + c_{1}

Solution steps

\frac{d y}{d x} = 0. 4^{\frac{x}{3}}

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = 0. 4^{\frac{x}{3}}

f^{^{'}} (x) = g (x)

then

f (x) = \int g (x) d x

y = \int 0. 4^{\frac{x}{3}} d x

\int 0. 4^{\frac{x}{3}} d x = - 3.27407 \dots \cdot 0. 4^{\frac{x}{3}} + c_{1}

y = - 3.27407 \dots \cdot 0. 4^{\frac{x}{3}} + c_{1}

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What is the solution for (dy)/(dx)=0.4^{x/3} ?
The solution for (dy)/(dx)=0.4^{x/3} is y=-3.27407…*0.4^{x/3}+c_{1}