Question: In problems 33-40 Solve the equation given in Problem 3.
A first-order equation that can be written in the form,
where P(x) and Q(x) are continuous on an interval (a, b) and n is a real number, is called a Bernoulli equation.
The given equation is,
Both sides divide by y2 in the above equation,
Substitute the in the equation (1),
The standard form of the linear equation is,
Now find the integrating factor,
Both sides Multiply by in the equation (2),
Simplify the above equation,
Integrate both sides and solve for the solution.
Substitute t = y-1 and simplify the above equation,
Where, C = -3c
Hence, the solve the given equation is
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