Solve the following differential equation. Hint: Express the functions first in terms of sine and...

Question:

Solve the following differential equation. (Hint: Express the functions first in terms of sine and cosine.)

{eq}\dfrac{dy}{dx} = \tan y \cot x - \sec y \cos x . {/eq}

Differential Equation:


In calculus, an equation that contains one or more than one derivative of any function is considered a differential equation. The main reason that these equations are called differential equations is that they are in the form of an equation and they contain derivatives of the function.

Answer and Explanation: 1

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Given:


  • Consider the differential equation {eq}\frac{{dy}}{{dx}} = \tan y\cot x - \sec y\cos x{/eq}.


Rewrite the differential equation.

{eq}\beg...

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Separable Differential Equation: Definition & Examples

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Chapter 16 / Lesson 1
6.2K

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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