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


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

Become a member to unlock this answer!

View this answer

Given 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....

See full answer below.

Learn more about this topic:

Separable Differential Equation: Definition & Examples


Chapter 16 / Lesson 1

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.

Related to this Question

Explore our homework questions and answers library