What is the solution for (A+B)dy=C(x/y)dx ?

The solution for (A+B)dy=C(x/y)dx is y=sqrt((Cx^2+c_{1))/(A+B)},y=-sqrt((Cx^2+c_{1))/(A+B)}

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(A+B)dy=C(x/y)dx

(A + B) d y = C (\frac{x}{y}) d x

y = \frac{C x ^{2} + c _{1}}{A + B}, y = - \frac{C x ^{2} + c _{1}}{A + B}

Solution steps

(A + B) d y = C (\frac{x}{y}) d x

Solve separable ODE:

y = \frac{C x ^{2} + c _{1}}{A + B}, y = - \frac{C x ^{2} + c _{1}}{A + B}

y = \frac{C x ^{2} + c _{1}}{A + B}, y = - \frac{C x ^{2} + c _{1}}{A + B}

\frac{d y}{d x} = \frac{10 + 12 x}{x y ^{2}}

\frac{d v}{d t} = 60 - \frac{8}{100} v

csc^{3} (x) \frac{d y}{d x} = cos^{2} (y)

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

0 = \frac{y + x \frac{d y}{d x}}{2 - x y}

What is the solution for (A+B)dy=C(x/y)dx ?
The solution for (A+B)dy=C(x/y)dx is y=sqrt((Cx^2+c_{1))/(A+B)},y=-sqrt((Cx^2+c_{1))/(A+B)}