Consider the Initial Value Problem

What Is the Solution $y=\frac{20}{3} e^{-\frac{3}{2} t}-\frac{14}{3} e^{-\frac{3}{4} t}$

Multiple Choice

Consider the initial value problem

What is the solution of this initial value problem?

A) $y=\frac{20}{3} e^{-\frac{3}{2} t}-\frac{14}{3} e^{-\frac{3}{4} t}$
B) $y=\frac{4}{3} e^{\frac{3}{2} t}-\frac{2}{3} e^{\frac{3}{4} t}$
C) $y=-\frac{14}{3} e^{-\frac{3}{2} t}+\frac{20}{3} e^{-\frac{3}{4} t}$
D) $y=-\frac{2}{3} e^{\frac{3}{2} t}+\frac{4}{3} e^{\frac{3}{4} t}$