Find dy / DX = (X-Y + 5) / (x + Y-2)

Find dy / DX = (X-Y + 5) / (x + Y-2)

Dy / DX = (X-Y + 5) / (x + Y-2) = [(x + 3 / 2) - (Y-7 / 2)] / [(x + 3 / 2) + (Y-7 / 2)] let v = Y-7 / 2, u = x + 3 / 2, the original equation is transformed into DV / Du = (U-V) / (U + V) into homogeneous equation. Then let P = V / u, the equation is transformed into P + UDP / Du = (1-p) / (1 + P), then it is transformed into separable variable type (1 + P) DP / (1-2p-p ^ 2) = Du /