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Find y as a function of t if

{eq}y''+ 16y= 0,y(0) = 7, y'(0) = 7 {/eq}

Question:

Find y as a function of t if

{eq}y''+ 16y= 0,y(0) = 7, y'(0) = 7 {/eq}

Differential equation:

Differential equations appear to be somewhat abstract in mathematics, but they actually describe natural and scientific phenomena in many branches of science such as Physics, Chemistry, Astronomy, Engineering, Economics, and many others.

Answer and Explanation: 1

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Calculate the solution of the homogeneous equation

{eq}\begin{align} & y''+ 16y= 0 \,\, && \textrm {auxiliary homogeneous equation} \\ & (D^2+16)y...

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Solving Separable Differential Equations | Steps & Examples

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Chapter 16 / Lesson 1
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Discover what separable differential equations are and their uses. Learn to identify if an equation is separable and how to solve them through given examples.


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