What is the solution for (dy)/(dx)=18x^5e^{3x^6} ?

The solution for (dy)/(dx)=18x^5e^{3x^6} is y=e^{3x^6}+c_{1}

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(dy)/(dx)=18x^5e^{3x^6}

\frac{d y}{d x} = 18 x^{5} e^{3 x^{6}}

y = e^{3 x^{6}} + c_{1}

Solution steps

\frac{d y}{d x} = 18 x^{5} e^{3 x^{6}}

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = 18 x^{5} e^{3 x^{6}}

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

then

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

y = \int 18 x^{5} e^{3 x^{6}} d x

\int 18 x^{5} e^{3 x^{6}} d x = e^{3 x^{6}} + c_{1}

y = e^{3 x^{6}} + c_{1}

\int (sin (x y)) d y

\frac{d ^{2} x}{d t ^{2}} + 6 \frac{d x}{d t} + 8 x = 5 sin (3 t)

\frac{d ^{2}}{d x ^{2}} (x^{\frac{9}{2}} e^{x})

x \to \infty lim (- 2 (x))

n = 1 \sum \infty \frac{9 n}{10}

What is the solution for (dy)/(dx)=18x^5e^{3x^6} ?
The solution for (dy)/(dx)=18x^5e^{3x^6} is y=e^{3x^6}+c_{1}