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Find the general solution for
Solution:
Consider the given equation above
Transfer all the terms from the right side of the equation to the left side of the equation and group as follows
In order to separate dx and dy from other variables, divide both sides of the equation by (1 - y²)(1 + x²) as follows
Integrate both sides of the equation, we have
Next, we need to solve for the value of A and B by partial fractions as follows
Equate the coefficients for y, we have
Equate the coefficients for y0, we have
Substitute the value of A and B to the above equation, we have
Take the inverse natural logarithm on both sides of the equation, we have
where D = C².
Therefore, the general solution is
