What is the solution for (dy)/(dx)=(5(3-y)^2)/((3-x)^2),y(-2)=-5 ?

The solution for (dy)/(dx)=(5(3-y)^2)/((3-x)^2),y(-2)=-5 is y=(29x)/(7x+19)+(33)/(7x+19)

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(dy)/(dx)=(5(3-y)^2)/((3-x)^2),y(-2)=-5

\frac{d y}{d x} = \frac{5 ( 3 - y ) ^{2}}{( 3 - x ) ^{2}}, y (- 2) = - 5

y = \frac{29 x}{7 x + 19} + \frac{33}{7 x + 19}

Solution steps

\frac{d y}{d x} = \frac{5 ( 3 - y ) ^{2}}{( 3 - x ) ^{2}}

Solve separable ODE:

y = \frac{29 x}{7 x + 19} + \frac{33}{7 x + 19}

y = \frac{29 x}{7 x + 19} + \frac{33}{7 x + 19}

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What is the solution for (dy)/(dx)=(5(3-y)^2)/((3-x)^2),y(-2)=-5 ?
The solution for (dy)/(dx)=(5(3-y)^2)/((3-x)^2),y(-2)=-5 is y=(29x)/(7x+19)+(33)/(7x+19)