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

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

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

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

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

Solution steps

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

Solve linear ODE:

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

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

x \to 0 + lim (1 + \frac{1}{x - 1})

\frac{d}{d x} (2 x^{2} + 8 x + 10)

x \to - 3 lim (7 + x)

x \to - 3 lim (x + 3)

\frac{( x + 1 ) ( x + 2 )}{( x - 1 ) ( x - 2 )}

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