What is the solution for (4xy-18xy)dx+(2x^2-9x^2+1)dy=0 ?

The solution for (4xy-18xy)dx+(2x^2-9x^2+1)dy=0 is y=(c_{1})/(7x^2-1)

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(4xy-18xy)dx+(2x^2-9x^2+1)dy=0

(4 x y - 18 x y) d x + (2 x^{2} - 9 x^{2} + 1) d y = 0

y = \frac{c _{1}}{7 x ^{2} - 1}

Solution steps

(4 x y - 18 x y) d x + (2 x^{2} - 9 x^{2} + 1) d y = 0

Solve separable ODE:

y = \frac{c _{1}}{7 x ^{2} - 1}

y = \frac{c _{1}}{7 x ^{2} - 1}

\frac{d}{d x} (\frac{4}{5})

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7 x arcsin (x)

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\frac{d}{d x} (16 - x^{2} + 64)

What is the solution for (4xy-18xy)dx+(2x^2-9x^2+1)dy=0 ?
The solution for (4xy-18xy)dx+(2x^2-9x^2+1)dy=0 is y=(c_{1})/(7x^2-1)