Determine a function y = f(x) such that {eq}y" = \dfrac{1}{10}y {/eq} and {eq}f(0) = -3 {/eq}.

Question:

Determine a function y = f(x) such that {eq}y" = \dfrac{1}{10}y {/eq} and {eq}f(0) = -3 {/eq}.

Differential Equations:

A differential equation is an equation which relates a function to its derivative(s). The solution to a differential equation is a function which, when substituted into the differential equation with its derivative(s) results in a true statement.

Answer and Explanation: 1

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Since a function of the form {eq}y = Ae^{kx} {/eq} satisfies {eq}y' = Ake^{kx} = ky {/eq} and {eq}y'' = Ak^2e^{kx} = k^2y, {/eq} we want a function...

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Initial Value in Calculus: Definition, Method & Example

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Chapter 11 / Lesson 13
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Learn to define the initial value problem and initial value formula. Learn how to solve initial value problems in calculus. See examples of initial value problems.


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