The complete integral of (z - px - qy)³ = pq + 2(p² + q)² is

$${\text{z}} = {\text{ax}} + {\text{by}} + \root 3 \of {{\text{pq}} + 2{{\left( {{{\text{p}}^2} + {\text{q}}} \right)}^2}} $$

$${\text{z}} = {\text{ax}} + {\text{by}} + \root 3 \of {{\text{ab}} + 2{{\left( {{{\text{a}}^2} + {\text{b}}} \right)}^2}} $$

$${\text{z}} = {\text{ax}} + {\text{by}} + \root 3 \of {{\text{ab}}} + \root 3 \of {2{{\left( {{{\text{a}}^2} + {\text{b}}} \right)}^2}} $$

$${\text{z}} = {\text{ax}} + {\text{by}} + {\text{c}}$$

The complete integral of (z - px - qy)³ = pq + 2(p² + q)² is Correct Answer $${\text{z}} = {\text{ax}} + {\text{by}} + \root 3 \of {{\text{ab}} + 2{{\left( {{{\text{a}}^2} + {\text{b}}} \right)}^2}} $$

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Feb 20, 2025

Engineering Maths
Differential Equations

The complete integral of (z - px - qy)3 = pq + 2(p2 + q)2 is

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The complete integral of (z - px - qy)³ = pq + 2(p² + q)² is