What is (dx)/(x(y-1))+(dy)/(y(x+2))=0,y(1)=1 ?

The solution to (dx)/(x(y-1))+(dy)/(y(x+2))=0,y(1)=1 is No Solution

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(dx)/(x(y-1))+(dy)/(y(x+2))=0,y(1)=1

\frac{d x}{x ( y - 1 )} + \frac{d y}{y ( x + 2 )} = 0, y (1) = 1

No Solution

Solution steps

[\frac{d x}{x ( y - 1 )} + \frac{d y}{y ( x + 2 )} = 0 y (1) = 1]

Isolate

y

for

y (1) = 1 : y = 1

Plug the solutions

y = 1

into

\frac{d x}{( - 1 + y ) x} + \frac{d y}{( 2 + x ) y} = 0

For

\frac{d x}{( - 1 + y ) x} + \frac{d y}{( 2 + x ) y} = 0

, subsitute

y

with

1 :

No Solution

No Solution

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\frac{s ^{3} + 5 s ^{2} + 9 s + 7}{( s + 1 ) \cdot ( s + 2 )}

\frac{( x ^{2} - 6 ) ^{3}}{x ^{2} + 2}

f (x) = 3 + \frac{1}{x ^{2}}

What is (dx)/(x(y-1))+(dy)/(y(x+2))=0,y(1)=1 ?
The solution to (dx)/(x(y-1))+(dy)/(y(x+2))=0,y(1)=1 is No Solution