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

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) $y = 27 x ^ { 3 } + 4 x ^ { 1.5 } + C$

Correct Answer:

Verified

Unlock this answer now
Get Access to more Verified Answers free of charge

Access For Free