Solve the differential equation:

{eq}( sin x sin y - xe^4)dy {/eq}.

Question:

Solve the differential equation:

{eq}( sin x sin y - xe^4)dy {/eq}.

Differential equation

An equation that consists of the independent variable, dependent variable, and their derivatives is known as the differential equation. An equation of the form {eq}Mdx+Ndy=0 {/eq} is said to be exact if {eq}\frac{\partial M}{\partial y}=\frac{\partial N}{\partial x} {/eq}

Answer and Explanation: 1

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We have to solve the differential equation

{eq}( sin x sin y - xe^y)dy=(e^y+cosxcosy)dx {/eq}

Rewrite the given differential equation

{eq}(e^y+cos...

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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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