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

The solution for (3x+2y)dx+(2x+y)dy=0 is y=-2x+sqrt(x^2+c_{1)},y=-2x-sqrt(x^2+c_{1)}

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

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

y = - 2 x + x^{2} + c_{1}, y = - 2 x - x^{2} + c_{1}

Solution steps

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

Solve exact ODE:

y = - 2 x + x^{2} + c_{1}, y = - 2 x - x^{2} + c_{1}

y = - 2 x + x^{2} + c_{1}, y = - 2 x - x^{2} + c_{1}

\frac{\partial}{\partial x} (\frac{x + y}{z})

\int cot (x) csc^{2} (x) d x

\frac{1}{x - 1}, x = 20

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

x \to 0 lim (- e^{- x})

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