Which of the following is a solution of the differential equation $\frac { d y } { d x } - 4 x y = 0$
A) $y = e ^ { - 4 x }$
B) $y = 4 x$
C) $y = e ^ { 2 x ^ { 2 } }$
D) $y = \sin 2 x$
E) $y = e ^ { 2 x }$
F) $y = 2 x ^ { 2 }$
G) $y = \frac { 1 } { 4 x + 1 }$
H) $y = e ^ { 4 x }$

Question

Which of the following is a solution of the differential equation $\frac { d y } { d x } - 4 x y = 0$ 
A) $y = e ^ { - 4 x }$ 
B) $y = 4 x$ 
C) $y = e ^ { 2 x ^ { 2 } }$ 
D) $y = \sin 2 x$ 
E) $y = e ^ { 2 x }$ 
F) $y = 2 x ^ { 2 }$ 
G) $y = \frac { 1 } { 4 x + 1 }$ 
H) $y = e ^ { 4 x }$

Quizplus · Accepted Answer

The differential equation is separable and can be solved to find that the solution is of the form $y = Ce^{2x^2}$, where $C$ is a constant.

Which of the Following Is a Solution of the Differential dydx−4xy=0\frac { d y } { d x } - 4 x y = 0dxdy​−4xy=0

Which of the Following Is a Solution of the Differential $\frac { d y } { d x } - 4 x y = 0$