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Given differential equation:
dy/dx = x * y^2
Separate variables
dy / y^2 = x dx
Integrate both sides
y^(-2) dy = x dx
- y^(-1) = x^2 / 2 + C
Solve for y
1 / y = - (x^2 / 2 + C)
y = 1 / [ - (x^2 / 2 + C) ]
Answer: y = 1 / [ - (x^2 / 2 + C) ]
Added 133 days ago|9/10/2025 9:32:57 AM
This answer has been confirmed as correct and helpful.
