What is the solution for -2xe^{(-\H(x)x)/x}dx+x^2d\H(x)=0 ?

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

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-2xe^{(-\H(x)x)/x}dx+x^2d\H(x)=0

- 2 x e^{\frac{- H ( x ) x}{x}} d x + x^{2} d H (x) = 0

f (x) = ln (2 ln (x) + c_{1})

Solution steps

- 2 x e^{\frac{- H ( x ) x}{x}} d x + x^{2} d H (x) = 0

Solve separable ODE:

f (x) = ln (2 ln (x) + c_{1})

f (x) = ln (2 ln (x) + c_{1})

\frac{d y}{d t} y = arccot (4 t)

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

y^{^{'}} = 5 x^{3} y^{\frac{1}{5}}, y (0) = 0

\frac{d y}{d x} = 7 x + 2 x y, y (0) = 1

\frac{d x}{d t} = 3 x + 1

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