What is the solution for (x^2+1)*(dy)/(dx)+6x(y-1)=0 ?

The solution for (x^2+1)*(dy)/(dx)+6x(y-1)=0 is y=(c_{1})/(x^6+3x^4+3x^2+1)+1

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(x^2+1)*(dy)/(dx)+6x(y-1)=0

(x^{2} + 1) \cdot \frac{d y}{d x} + 6 x (y - 1) = 0

y = \frac{c _{1}}{x ^{6} + 3 x ^{4} + 3 x ^{2} + 1} + 1

Solution steps

(x^{2} + 1) \cdot \frac{d y}{d x} + 6 x (y - 1) = 0

Solve separable ODE:

y = \frac{c _{1}}{x ^{6} + 3 x ^{4} + 3 x ^{2} + 1} + 1

y = \frac{c _{1}}{x ^{6} + 3 x ^{4} + 3 x ^{2} + 1} + 1

10 y^{^{''}} - 10 y^{^{'}} + 25 y = 0

f (x) = (\frac{2 + 3 x}{3 x}) (9 - 4 x)

\frac{d}{d x} (5 sin (x) cos (x))

\int (x + 1) (9 x - 8) d x

\int \frac{x ^{7} - 4 x}{x ^{5}} d x

What is the solution for (x^2+1)*(dy)/(dx)+6x(y-1)=0 ?
The solution for (x^2+1)*(dy)/(dx)+6x(y-1)=0 is y=(c_{1})/(x^6+3x^4+3x^2+1)+1