Find the Particular Solution of the Differential Equation $\frac { 1 } { \sqrt { x ^ { 3 } + y ^ { 3 } } } \left( x ^ { 2 } d x + y ^ { 2 } d y \right) = 0$

question 43

Multiple Choice

Find the particular solution of the differential equation $\frac { 1 } { \sqrt { x ^ { 3 } + y ^ { 3 } } } \left( x ^ { 2 } d x + y ^ { 2 } d y \right) = 0$ that satisfies the initial condition $( 8,8 )$

• A) \(\frac { 1 } { x ^ { 3 } + y ^ { 3 } } = \frac { 1 } { 1024 }\)
• B) \(\frac { 1 } { \sqrt { x ^ { 3 } + y ^ { 3 } } } = \frac { 1 } { 32 }\)
• C) \(\sqrt { x ^ { 3 } + y ^ { 3 } } = 32\)
• D) \(x ^ { 3 } - y ^ { 3 } = 1024\)
• E) \(\frac { 1 } { x ^ { 2 } + y ^ { 2 } } = \frac { 1 } { 128 }\)

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