# 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}

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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...