What is the solution for (xy+2y)dx+(3x)dy=0 ?

The solution for (xy+2y)dx+(3x)dy=0 is y=e^{-1/3 (x+2ln(x))+c_{1}}

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(xy+2y)dx+(3x)dy=0

(x y + 2 y) d x + (3 x) d y = 0

y = e^{- \frac{1}{3} (x + 2 l n (x)) + c_{1}}

Solution steps

(x y + 2 y) d x + (3 x) d y = 0

Solve separable ODE:

y = e^{- \frac{1}{3} (x + 2 l n (x)) + c_{1}}

y = e^{- \frac{1}{3} (x + 2 l n (x)) + c_{1}}

x^{2} + 3 x

\frac{d ^{2} y}{d t ^{2}} - 2 \frac{d y}{d t} - 8 y = 0

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

ln (1 - 2 x)

\int_{- π}^{π} e^{x} d x

What is the solution for (xy+2y)dx+(3x)dy=0 ?
The solution for (xy+2y)dx+(3x)dy=0 is y=e^{-1/3 (x+2ln(x))+c_{1}}