Which of the following is a solution of the differential equation ?
A)
C)
D)

Question

Which of the following is a solution of the differential equation  ? ​
A) ​ ​ 
C) ​ 
D) ​​

Quizplus · Accepted Answer

A solution to a differential equation of the form y' = ky, where k is a constant, is given by y = Ce^kt, where C is an arbitrary constant. 
Comparing the given differential equation with y' = ky, we can see that k = 2/3. 
Therefore, the solution is y = Ce^(2/3)t. 
Now, comparing the given options with this solution, we can see that option C, 11ea8970_6ac3_f1c3_861b_9f3832fe77d7_TB1301_11, is the only one that matches this form.

Which of the Following Is a Solution of the Differential