What is the solution for (4xy^2+3y)dx+(4x^2y+3x)dy=0 ?

The solution for (4xy^2+3y)dx+(4x^2y+3x)dy=0 is y=(c_{1})/x

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(4xy^2+3y)dx+(4x^2y+3x)dy=0

(4 x y^{2} + 3 y) d x + (4 x^{2} y + 3 x) d y = 0

y = \frac{c _{1}}{x}

Solution steps

(4 x y^{2} + 3 y) d x + (4 x^{2} y + 3 x) d y = 0

Solve linear ODE:

y = \frac{c _{1}}{x}

y = \frac{c _{1}}{x}

\frac{2250}{5 x ^{2} + x}

(- 12) (- 1 - 3)

4 e^{x} cos (x)

(x + y)^{2} d x + (2 x y + x^{2} - 9) d y = 0, y (1) = 1

\frac{d}{d x} (\frac{x ^{2}}{( 1 + x ) ^{4}})

What is the solution for (4xy^2+3y)dx+(4x^2y+3x)dy=0 ?
The solution for (4xy^2+3y)dx+(4x^2y+3x)dy=0 is y=(c_{1})/x