To solve this differential equation, we can rearrange it as:
dy/dx = (1+y)/x^2
Now, we can use separation of variables to solve this equation:
dy/(1+y) = dx/x^2
Integrating both sides, we get:
ln|1+y| = -1/x + C
Applying the initial condition Y = -3 when x = 0, we have:
ln|1-3| = -1/0 + C ln|1-3| = -∞
This leads to a contradiction, as the natural logarithm of a negative number is undefined. Thus, it is not possible to solve this differential equation given the initial condition specified.
To solve this differential equation, we can rearrange it as:
dy/dx = (1+y)/x^2
Now, we can use separation of variables to solve this equation:
dy/(1+y) = dx/x^2
Integrating both sides, we get:
ln|1+y| = -1/x + C
Applying the initial condition Y = -3 when x = 0, we have:
ln|1-3| = -1/0 + C
ln|1-3| = -∞
This leads to a contradiction, as the natural logarithm of a negative number is undefined. Thus, it is not possible to solve this differential equation given the initial condition specified.