What is the solution for dx=x^7ydy ?

The solution for dx=x^7ydy is y=(sqrt(6c_{1)x^6-1})/(sqrt(3)x^3),y=-(sqrt(6c_{1)x^6-1})/(sqrt(3)x^3)

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dx=x^7ydy

d x = x^{7} y d y

y = \frac{6 c _{1} x ^{6} - 1}{3 x ^{3}}, y = - \frac{6 c _{1} x ^{6} - 1}{3 x ^{3}}

Solution steps

d x = x^{7} y d y

Solve separable ODE:

y = \frac{6 c _{1} x ^{6} - 1}{3 x ^{3}}, y = - \frac{6 c _{1} x ^{6} - 1}{3 x ^{3}}

y = \frac{6 c _{1} x ^{6} - 1}{3 x ^{3}}, y = - \frac{6 c _{1} x ^{6} - 1}{3 x ^{3}}

\frac{d y}{d x} = (\frac{( ln ( x ^{6} ) )}{x y ^{2}}), y (1) = 5

\frac{d y}{d x} 5 x^{2} - 4 y^{2} = 16

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

(x y + y^{2}) y^{^{'}} = x^{2} + x y, y (1) = 0

y^{^{'}} = x^{2} + y^{2} + x^{2} y^{2} + 1

What is the solution for dx=x^7ydy ?
The solution for dx=x^7ydy is y=(sqrt(6c_{1)x^6-1})/(sqrt(3)x^3),y=-(sqrt(6c_{1)x^6-1})/(sqrt(3)x^3)