What is the solution for (dy)/(dx)=-9/4 x^6y^4 ?

The solution for (dy)/(dx)=-9/4 x^6y^4 is y=-\sqrt[3]{(28)/(3(-9x^7+c_{1))}}

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(dy)/(dx)=-9/4 x^6y^4

\frac{d y}{d x} = - \frac{9}{4} x^{6} y^{4}

Solution steps

\frac{d y}{d x} = - \frac{9}{4} x^{6} y^{4}

Solve separable ODE:

\frac{d y}{d x} y = \frac{1}{2} x - \frac{1}{4} sin (2 x)

\frac{d y}{d x} = - (1 + \frac{2}{x}) y

\frac{d y}{d t} - 5 y = 0, y (0) = 2

\frac{d y}{d t} - 5 y = 0, y (0) = 6

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

What is the solution for (dy)/(dx)=-9/4 x^6y^4 ?
The solution for (dy)/(dx)=-9/4 x^6y^4 is y=-\sqrt[3]{(28)/(3(-9x^7+c_{1))}}