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JEE Main Mathematics

Differential Equations

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A timed sectional mock on this unit

Order and degree, and solving by separating the variables, as homogeneous equations and as linear first-order equations.

Key formula
dydx+p(x) y=q(x)  ⇒  y e∫p dx=∫q e∫p dx dx+C\frac{dy}{dx} + p(x)\,y = q(x) \;\Rightarrow\; y\,e^{\int p\,dx} = \int q\,e^{\int p\,dx}\,dx + C

What this unit covers

  • Ordinary differential equations, their order and degree

  • Solution by the method of separation of variables

  • Solution of a homogeneous differential equation

  • Linear differential equations of the type dy/dx + p(x)y = q(x)

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