What is the solution for (dy)/(dx)(xy)=7 ?

The solution for (dy)/(dx)(xy)=7 is y=sqrt(14ln(x)+c_{1)},y=-sqrt(14ln(x)+c_{1)}

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(dy)/(dx)(xy)=7

\frac{d y}{d x} (x y) = 7

y = 14 ln (x) + c_{1}, y = - 14 ln (x) + c_{1}

Solution steps

\frac{d y}{d x} (x y) = 7

Solve separable ODE:

y = 14 ln (x) + c_{1}, y = - 14 ln (x) + c_{1}

y = 14 ln (x) + c_{1}, y = - 14 ln (x) + c_{1}

f (x) = \frac{x ^{2} - 7}{16 - x ^{2}}

\int lo g_{a} (x) d x

\frac{\partial}{\partial y} (x y^{\frac{1}{2}})

\frac{d}{d x} ((3 - x^{2}) (x^{3} - 5 x + 2))

\frac{d x}{d t} = t x - 2 x + t - 2

What is the solution for (dy)/(dx)(xy)=7 ?
The solution for (dy)/(dx)(xy)=7 is y=sqrt(14ln(x)+c_{1)},y=-sqrt(14ln(x)+c_{1)}