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 Find the general solution of the differential equation dydx=5x28y2\text { Find the general solution of the differential equation } \frac { d y } { d x } = \frac { 5 x ^ { 2 } } { 8 y ^ { 2 } } \text {. }

Question 26

Multiple Choice

 Find the general solution of the differential equation dydx=5x28y2\text { Find the general solution of the differential equation } \frac { d y } { d x } = \frac { 5 x ^ { 2 } } { 8 y ^ { 2 } } \text {. }


A) y=58x3+Cy = \frac { 5 } { 8 } x ^ { 3 } + C ^ { \prime }
B) y=58x3+C3y = \sqrt [ 3 ] { \frac { 5 } { 8 } x ^ { 3 } + C }
C) y=85x3+Cy = \sqrt { \frac { 8 } { 5 } x ^ { 3 } + C }
D) y=x28+C3y = \sqrt [ 3 ] { \frac { x ^ { 2 } } { 8 } + C }
E) y=5x3+8C3y = \sqrt [ 3 ] { 5 x ^ { 3 } + 8 C }

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