# Chapter 7 - Exponential Functions - 7.4 Exponential Growth and Decay - Exercises - Page 349: 8

$$y=20e^{\sqrt{2}t}.$$

#### Work Step by Step

The solution of the differential equation is given by $$y=Ce^{\sqrt{2}t}.$$ To find $C$, we use the initial condition $y(0)=20$, then we have $C=20$. Hence the solution is $$y=20e^{\sqrt{2}t}.$$

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