Consider the first-order differential equation - 7y = 0.
Assume a solution of this equation can be represented as a power series
Which of these elementary functions is equal to the power series representation of the solution?
A) $ y=2^{c_{0}} e^{x} $
B) $ y=c_{0} e^{2 x} $
C) $ y=c_{0} e^{x} $
D) $ y=c_{0} e^{\frac{x}{2}} $
E) $ y=\frac{c_{0}}{2} e^{x} $

Question

Consider the first-order differential equation  - 7y = 0.
Assume a solution of this equation can be represented as a power series 
Which of these elementary functions is equal to the power series representation of the solution?
A) $ y=2^{c_{0}} e^{x} $ 
B) $ y=c_{0} e^{2 x} $ 
C) $ y=c_{0} e^{x} $ 
D) $ y=c_{0} e^{\frac{x}{2}} $ 
E) $ y=\frac{c_{0}}{2} e^{x} $

Quizplus · Accepted Answer

The Answer of Consider the first-order differential equation  - 7y = 0.
Assume a solution of this equation can be represented as a power series 
Which of these elementary functions is equal to the power series representation of the solution?
A) $ y=2^{c_{0}} e^{x} $ 
B) $ y=c_{0} e^{2 x} $ 
C) $ y=c_{0} e^{x} $ 
D) $ y=c_{0} e^{\frac{x}{2}} $ 
E) $ y=\frac{c_{0}}{2} e^{x} $

Consider the First-Order Differential Equation - 7y = 0 y=2c0ex y=2^{c_{0}} e^{x} y=2c0​ex

Consider the First-Order Differential Equation - 7y = 0 $y=2^{c_{0}} e^{x}$