What is the solution for y^{9/2}(dy)/(dx)-y^4=-y^{11/2} ?

The solution for y^{9/2}(dy)/(dx)-y^4=-y^{11/2} is y=\sqrt[3]{e^{-3x-3c_{1}}+2e^{(-3x-3c_{1})/2}+1}

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y^{9/2}(dy)/(dx)-y^4=-y^{11/2}

y^{\frac{9}{2}} \frac{d y}{d x} - y^{4} = - y^{\frac{11}{2}}

Solution steps

y^{\frac{9}{2}} \frac{d y}{d x} - y^{4} = - y^{\frac{11}{2}}

Solve separable ODE:

\frac{d x}{d t} = 60 - \frac{x}{100}, x = 4000, t = 0

\frac{d y}{d x} = 18 + 30 x + 12 y + 20 x y

y^{^{'}} + 32 \frac{y}{x} = 0

y^{^{'}} = \frac{x y sin ( x )}{y + 1}, y (0) = 1

x^{^{'}} = 1 - 3 x + x^{2}

What is the solution for y^{9/2}(dy)/(dx)-y^4=-y^{11/2} ?
The solution for y^{9/2}(dy)/(dx)-y^4=-y^{11/2} is y=\sqrt[3]{e^{-3x-3c_{1}}+2e^{(-3x-3c_{1})/2}+1}