Find the solution of the differential equation, y' = -3y, satisfying the condition, y(2) = 1.

Question

Quizplus · Accepted Answer

The general solution to the differential equation y' = -3y is y(x) = Ce^(-3x), where C is a constant. 
Using the initial condition y(2) = 1, we can solve for C: 
1 = Ce^(-6) 
C = e^6 
Thus, the specific solution to the differential equation with the initial condition is y(x) = e^6e^(-3x) = e^(6-3x), which matches choice B.

Find the Solution of the Differential Equation, Y' = -3y