Solve the differential equation {eq}\frac{dy}{d \theta} =\frac{ e^y \sin^2 \theta}{y \sec \theta}{/eq}

## Question:

Solve the differential equation {eq}\frac{dy}{d \theta} =\frac{ e^y \sin^2 \theta}{y \sec \theta}{/eq}

## Differential equation:

The equation has given in the form of differentials known as differential equations. Separate the same variables then, integrate the equations. The degree of the equation is one, then the degree of the solution will also be one. The integral formula we use here shown below:

{eq}\int u. v dx = (u . \int vdx-\int( (\frac{\mathrm{d} u}{\mathrm{d} x})\int vdx)dx) {/eq}.

## Answer and Explanation: 1

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View this answerGiven a function {eq}\frac{dy}{d \theta} =\frac{ e^y \sin^2 \theta}{y \sec \theta} {/eq}.

Separate the variable then, integrate them.

{eq}\int y....

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#### Learn more about this topic:

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