Find the General Solution of the Differential Equation $\frac { \mathrm { d } y } { \mathrm {~d} x } = 27 x ^ { 2 } + 12 \sqrt { x }$

question 65

Multiple Choice

Find the general solution of the differential equation. $\frac { \mathrm { d } y } { \mathrm {~d} x } = 27 x ^ { 2 } + 12 \sqrt { x }$
Solve for y as a function of x.

NOTE: Use the symbol C to enter the constant.

• A) \(y = 27 x ^ { 3 } + 8 x ^ { 1.5 } + C\)
• B) \(y = 27 x ^ { 2 } + 8 x + C\)
• C) \(y = 9 x ^ { 3 } + 8 x ^ { 1.5 } + C\)
• D) \(y = 9 x - 8 x ^ { - 0.5 } + C\)
• E) \(y = 27 x ^ { 3 } + 4 x ^ { 1.5 } + C\)

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