What is the solution for (dy)/(dx)=x^7e^{x^8} ?

The solution for (dy)/(dx)=x^7e^{x^8} is y= 1/8 e^{x^8}+c_{1}

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(dy)/(dx)=x^7e^{x^8}

\frac{d y}{d x} = x^{7} e^{x^{8}}

y = \frac{1}{8} e^{x^{8}} + c_{1}

Solution steps

\frac{d y}{d x} = x^{7} e^{x^{8}}

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = x^{7} e^{x^{8}}

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

then

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

y = \int x^{7} e^{x^{8}} d x

\int x^{7} e^{x^{8}} d x = \frac{1}{8} e^{x^{8}} + c_{1}

y = \frac{1}{8} e^{x^{8}} + c_{1}

x \to 0 lim (x e^{\frac{1}{x}})

\int \frac{3}{x ^{2} + 10 x + 29} d x

x \to - 1 lim (\frac{1}{x ^{2} - 2 x - 3})

\frac{\partial}{\partial y} (\frac{x}{y ^{2} + 1})

\frac{\partial}{\partial x} (x^{3} + 4 x^{2} y + 4 x + 2)

What is the solution for (dy)/(dx)=x^7e^{x^8} ?
The solution for (dy)/(dx)=x^7e^{x^8} is y= 1/8 e^{x^8}+c_{1}