Solve the differential equation:

{eq}sin \frac{1}{y} \frac{dy}{dx} = y^4+ y^4 lnx {/eq}

## Question:

Solve the differential equation:

{eq}sin \frac{1}{y} \frac{dy}{dx} = y^4+ y^4 lnx {/eq}

## Solving First Order Differential Equations:

Differential equations of the type {eq}ay'+by+c=0 {/eq} are called first order differential equations. These equations can be solved with a range of methods, including variation of parameter, integrating factor, separation of variable, etc. For this problem, we will use the separation of variable method.

## Answer and Explanation: 1

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View this answerThe given equation is:

{eq}Sin \frac{1}{y} \frac{dy}{dx} = y^4+ y^4 lnx {/eq}

Now we will try to arrange the same variables on the same side. Let's...

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Chapter 16 / Lesson 3Learn to define what a linear differential equation and a first-order linear equationÂ are. Learn how to solve the linear differential equation. See examples.