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

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

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

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

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

Solution steps

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

Solve separable ODE:

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

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

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

x y^{2} y^{^{'}} = x + 7

y^{^{'}} - x y = 5 x

y ln (x) \frac{d}{d y} (x) = (\frac{y + 1}{x})^{2}, y = 5, x = 4

\frac{d y}{d x} = \frac{2 x + x y ^{2}}{3 y + y x ^{2}}

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