Find the solution of the differential equation, y' = -y, satisfying the condition, y(2) = -4.

Question

Quizplus · Accepted Answer

The general solution of the differential equation y'=-y is given by y = Ce^(-x) where C is a constant. Substituting the initial condition y(2)=-4, we get -4 = Ce^(-2). Solving for C, we get C = -4e^2. Therefore, the solution of the differential equation with the given initial condition is y = -4e^(2-x), which corresponds to choice (B).

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