The differential equation is dxdy=−4xy2
This is a separable differential equation.
y2dy=−4xdx
Integrating both sides:
∫y21dy=∫−4xdx
∫y−2dy=∫−4xdx
−y1=−2x2+C
Rearranging:
−y1=−2x2+C
2x2−y1=C
Therefore, the general solution is 2x2−y1=C
The general solution of the differential equation dxdy=−4xy2 is given by
Held on 3 Jun 2025 · Verified 13 Jul 2026.
2x2−y=C; C is an arbitrary constant
2x2−y1=C; C is an arbitrary constant
2x2+y21=C; C is an arbitrary constant
2x2+y1=C; C is an arbitrary constant
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