What is the solution for y(9-y)-81/4 =(dy)/(dt),y(0)=4 ?

The solution for y(9-y)-81/4 =(dy)/(dt),y(0)=4 is y=(9t)/(2(t-2))-8/(t-2)

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y(9-y)-81/4 =(dy)/(dt),y(0)=4

y (9 - y) - \frac{81}{4} = \frac{d y}{d t}, y (0) = 4

y = \frac{9 t}{2 ( t - 2 )} - \frac{8}{t - 2}

Solution steps

y (9 - y) - \frac{81}{4} = \frac{d y}{d t}

Solve separable ODE:

y = \frac{9 t}{2 ( t - 2 )} - \frac{8}{t - 2}

y = \frac{9 t}{2 ( t - 2 )} - \frac{8}{t - 2}

x \to \infty lim (1. 2^{x})

x \to 0 lim (\frac{2}{1 + e ^{\frac{1}{x}}})

t \frac{d y}{d t} = t^{3} + 14 t^{3} y

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

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

What is the solution for y(9-y)-81/4 =(dy)/(dt),y(0)=4 ?
The solution for y(9-y)-81/4 =(dy)/(dt),y(0)=4 is y=(9t)/(2(t-2))-8/(t-2)