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Find c1 and c2 so that y(x)=c1sinx+c2cosx will satisfy the given conditions 1. y(0)=0,...

Question:

Find c1 and c2 so that y(x)=c1sinx+c2cosx will satisfy the given conditions

1. y(0)=0, y'({eq}\Pi {/eq}/2)=1

2. y(0)=1, y'({eq}\Pi {/eq})=1

Answer and Explanation:

Given ,

{eq}\begin{align*} y\left( x \right) = {c_1}\sin x + {c_2}{\mathop{\rm cosx}\nolimits} \\ y'\left( x \right) = \dfrac{d}{{dx}}y\left( x...

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The Role of Mathematics in Biology

from Praxis Biology (5235): Practice & Study Guide

Chapter 1 / Lesson 14
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