Consider the initial value problem

What is the solution of this initial value problem?
A) $ y=\left(\frac{\alpha}{2}-\frac{8}{7}\right) e^{\frac{7}{4} t}+\left(\frac{\alpha}{2}+\frac{8}{7}\right) e^{\frac{7}{4} t} $
B) $ y=\left(\frac{\alpha}{2}+\frac{8}{7}\right) e^{\frac{7}{4} t}+\left(\frac{\alpha}{2}-\frac{8}{7}\right) e^{\frac{7}{4} t} $
C) $ y=\left(\frac{\alpha}{2}+\frac{8}{7}\right) e^{\frac{4}{7} t}+\left(\frac{\alpha}{2}-\frac{8}{7}\right) e^{\frac{4}{7} t} $
D) $ y=\left(\frac{a}{2}-\frac{8}{7}\right) e^{\frac{4}{7} t}+\left(\frac{a}{2}+\frac{8}{7}\right) e^{\frac{4}{7} t} $

Question

Consider the initial value problem

What is the solution of this initial value problem?
A) $ y=\left(\frac{\alpha}{2}-\frac{8}{7}\right) e^{\frac{7}{4} t}+\left(\frac{\alpha}{2}+\frac{8}{7}\right) e^{\frac{7}{4} t} $ 
B) $ y=\left(\frac{\alpha}{2}+\frac{8}{7}\right) e^{\frac{7}{4} t}+\left(\frac{\alpha}{2}-\frac{8}{7}\right) e^{\frac{7}{4} t} $ 
C) $ y=\left(\frac{\alpha}{2}+\frac{8}{7}\right) e^{\frac{4}{7} t}+\left(\frac{\alpha}{2}-\frac{8}{7}\right) e^{\frac{4}{7} t} $ 
D) $ y=\left(\frac{a}{2}-\frac{8}{7}\right) e^{\frac{4}{7} t}+\left(\frac{a}{2}+\frac{8}{7}\right) e^{\frac{4}{7} t} $

Quizplus · Accepted Answer

The Answer of Consider the initial value problem

What is the solution of this initial value problem?
A) $ y=\left(\frac{\alpha}{2}-\frac{8}{7}\right) e^{\frac{7}{4} t}+\left(\frac{\alpha}{2}+\frac{8}{7}\right) e^{\frac{7}{4} t} $ 
B) $ y=\left(\frac{\alpha}{2}+\frac{8}{7}\right) e^{\frac{7}{4} t}+\left(\frac{\alpha}{2}-\frac{8}{7}\right) e^{\frac{7}{4} t} $ 
C) $ y=\left(\frac{\alpha}{2}+\frac{8}{7}\right) e^{\frac{4}{7} t}+\left(\frac{\alpha}{2}-\frac{8}{7}\right) e^{\frac{4}{7} t} $ 
D) $ y=\left(\frac{a}{2}-\frac{8}{7}\right) e^{\frac{4}{7} t}+\left(\frac{a}{2}+\frac{8}{7}\right) e^{\frac{4}{7} t} $

Consider the Initial Value Problem What Is the Solution y=(α2−87)e74t+(α2+87)e74t y=\left(\frac{\alpha}{2}-\frac{8}{7}\right) e^{\frac{7}{4} t}+\left(\frac{\alpha}{2}+\frac{8}{7}\right) e^{\frac{7}{4} t} y=(2α​−78​)e47​t+(2α​+78​)e47​t

Consider the Initial Value Problem

What Is the Solution $y=\left(\frac{\alpha}{2}-\frac{8}{7}\right) e^{\frac{7}{4} t}+\left(\frac{\alpha}{2}+\frac{8}{7}\right) e^{\frac{7}{4} t}$