JEE Maths
JEEMathsDifferential EquationsClass 12

What does “Separation of variables” actually mean in Differential Equations, and why does it matter for JEE?

if you can write dy/dx = g(x)·h(y), gather all y-terms on one side and x-terms on the other, then integrate.

In simple words: if you can write dy/dx = g(x)·h(y), gather all y-terms on one side and x-terms on the other, then integrate. Getting Separation of variables clear matters because JEE questions on Differential Equations usually test this idea directly, not just a formula you memorised.

Key point

Separation of variables

Common mistake

integrating before separating the variables.

Memory tip

get all y with dy and all x with dx, then integrate both sides.

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More on Differential Equations