What is the solution for (8x+9y)dx+(9x+6y)dy=0 ?

The solution for (8x+9y)dx+(9x+6y)dy=0 is y=(-9x+sqrt(33x^2+c_{1)})/6 ,y=(-9x-sqrt(33x^2+c_{1)})/6

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(8x+9y)dx+(9x+6y)dy=0

(8 x + 9 y) d x + (9 x + 6 y) d y = 0

y = \frac{- 9 x + 33 x ^{2} + c _{1}}{6}, y = \frac{- 9 x - 33 x ^{2} + c _{1}}{6}

Solution steps

(8 x + 9 y) d x + (9 x + 6 y) d y = 0

Solve exact ODE:

y = \frac{- 9 x + 33 x ^{2} + c _{1}}{6}, y = \frac{- 9 x - 33 x ^{2} + c _{1}}{6}

y = \frac{- 9 x + 33 x ^{2} + c _{1}}{6}, y = \frac{- 9 x - 33 x ^{2} + c _{1}}{6}

\frac{d}{d x} (2 x - 2)

(x + 1) y^{^{'}} + (x + 2) y = 2 x e^{- a x}

\int (\frac{x - 1}{3})^{2} d x

\frac{d}{d x} (x (x^{4} + 8)^{3})

x \to - 3 lim (ln (x^{4} - 3 x + 10))

What is the solution for (8x+9y)dx+(9x+6y)dy=0 ?
The solution for (8x+9y)dx+(9x+6y)dy=0 is y=(-9x+sqrt(33x^2+c_{1)})/6 ,y=(-9x-sqrt(33x^2+c_{1)})/6