Question

Reduce the given differential equation using variable separable
$\bold{{ \huge {\red{ \frac{dy}{dx }= \frac{ x (2 \log x+1)}{ \sin( y)-y \cos (x)}}}}}$
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Answer 1

Step-by-step explanation:

How do you solve differential equations by separating variables?

The method for solving separable equations can therefore be summarized as follows: Separate the variables and integrate.

Example 1: Solve the equation 2 y dy = ( x 2 + 1) dx.

Example 2: Solve the equation.

Example 3: Solve the IVP.

Example 4: Find all solutions of the differential equation ( x 2 – 1) y 3 dx + x 2 dy = 0.