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Popular >

y^'=(x^8-8y)/x

Solution

y^{^{'}} = \frac{x ^{8} - 8 y}{x}

Solution

y = \frac{x ^{8}}{16} + \frac{c _{1}}{x ^{8}}

Solution steps

y^{'} (x) = \frac{x ^{8} - 8 y}{x}

Solve linear ODE:

y = \frac{x ^{8}}{16} + \frac{c _{1}}{x ^{8}}

y = \frac{x ^{8}}{16} + \frac{c _{1}}{x ^{8}}

Popular Examples

f (x) = x + x

integral of u^{-6}

\int u^{- 6} d u

x(dy)/(dx)+2y=-3sin(x)

x \frac{d y}{d x} + 2 y = - 3 sin (x)

y^{''}+2y^'+5y=10

y^{^{''}} + 2 y^{^{'}} + 5 y = 10

derivative of ((x+1/(x-1))^2)

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

Frequently Asked Questions (FAQ)

What is the solution for y^'=(x^8-8y)/x ?
The solution for y^'=(x^8-8y)/x is y=(x^8)/(16)+(c_{1})/(x^8)