What is the solution for (dy)/(dx)=yx^9sin(x^{10}),y(0)=6 ?

The solution for (dy)/(dx)=yx^9sin(x^{10}),y(0)=6 is y=6e^{-1/10 cos(x^{10})+1/10}

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(dy)/(dx)=yx^9sin(x^{10}),y(0)=6

\frac{d y}{d x} = y x^{9} sin (x^{10}), y (0) = 6

y = 6 e^{- \frac{1}{10} c o s (x^{10}) + \frac{1}{10}}

Solution steps

\frac{d y}{d x} = y x^{9} sin (x^{10})

Solve separable ODE:

y = 6 e^{- \frac{1}{10} c o s (x^{10}) + \frac{1}{10}}

y = 6 e^{- \frac{1}{10} c o s (x^{10}) + \frac{1}{10}}

\frac{d}{d s} (\frac{s}{s ^{2} + 16})

y^{^{'}} + cos (x) y = cos (x)

arctan (\frac{9}{x}) + arctan (\frac{3}{x})

\frac{s + 3}{s ^{2} + 6 s + 10}

\frac{d}{d x} (5^{x} + 5 cos (\frac{5 x}{2}))

What is the solution for (dy)/(dx)=yx^9sin(x^{10}),y(0)=6 ?
The solution for (dy)/(dx)=yx^9sin(x^{10}),y(0)=6 is y=6e^{-1/10 cos(x^{10})+1/10}