What is the solution for x(\H(x)x)^2dx+x^2(\H(x)x)(\H(x)dx+xd\H(x))=0 ?

The solution for x(\H(x)x)^2dx+x^2(\H(x)x)(\H(x)dx+xd\H(x))=0 is f(x)=(c_{1})/(x^2)

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x(\H(x)x)^2dx+x^2(\H(x)x)(\H(x)dx+xd\H(x))=0

x (H (x) x)^{2} d x + x^{2} (H (x) x) (H (x) d x + x d H (x)) = 0

f (x) = \frac{c _{1}}{x ^{2}}

Solution steps

x (H (x) x)^{2} d x + x^{2} (H (x) x) (H (x) d x + x d H (x)) = 0

Solve separable ODE:

f (x) = \frac{c _{1}}{x ^{2}}

f (x) = \frac{c _{1}}{x ^{2}}

(x y^{2} - x) d x + (2 x^{2} y + 8 y) d y = 0

\frac{d}{d x} ((sin (π) x + cos (π) y)^{2}) = 2

y^{^{'}} = e^{- y} - 1

y^{^{'}} + y = 1, - H (t - 2) y (0) = 2

7 x y y^{^{'}} = x + 6 x^{2} - 8

What is the solution for x(\H(x)x)^2dx+x^2(\H(x)x)(\H(x)dx+xd\H(x))=0 ?
The solution for x(\H(x)x)^2dx+x^2(\H(x)x)(\H(x)dx+xd\H(x))=0 is f(x)=(c_{1})/(x^2)