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Find f in the function:

{eq}f ''(x)=6x+sin(x) {/eq}

Question:

Find f in the function:

{eq}f ''(x)=6x+sin(x) {/eq}

Differential Equation:

The differential equation is solved by using the method of integrating both sides of the equation. But before integrating, we need to separate the variables with respect to which we have to integrate. The differential equation can be also solved by using the integrating factor method.

Answer and Explanation: 1

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We have to solve the differential equation:

{eq}f ''(x)=6x+sin(x) {/eq}

to get the function {eq}f(x). {/eq}

So let,

{eq}f''(x)=y'' {/eq}

whi...

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Separable Differential Equation: Definition & 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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