Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Engineering Mathematics Differential Equations Partial Differential Equations
The solution of differential equation \(\frac{{{\rm{dx}}}}{{{\rm{z}}\left( {{\rm{x + }}\,{\rm{y}}} \right)}}\,{\rm{ = }}\,\frac{{{\rm{dy}}}}{{{\rm{z}}\left( {{\rm{x}}\,{\rm{ - }}\,\,{\rm{y}}} \right)}}{\rm{ = }}\frac{{{\rm{dz}}}}{{{{\rm{x}}^{\rm{2}}}{\rm{ + }}\,{{\rm{y}}^{\rm{2}}}}}\) is:
1
x2 - y2 + z2 = c1, 2xy - z2 = c2
2
2xy + z2 = c1, x2 - y2 - z2 = c2
3
x2 + y2 - z2 = c1, 2xy - z2 = c2
4
2xy - z2 = c1, x2 - y2 - z2 = c2
5
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