CBSE · Class 6-12

Class 12 · Mathematics (041)

Unit 9 · Class 12Mathematics (041)

Calculus

Differential Equations

Order and degree, general/particular solutions, variables separable, homogeneous, and linear DEs.

Lessons

3 concepts

1
Order & Degree
Order = highest derivative; degree = power of that highest derivative once radicals are removed.
2
Variables Separable
$\dfrac{dy}{dx} = f(x) g(y)$ $\Rightarrow$ $\int \dfrac{dy}{g(y)} = \int f(x) dx$ .
3
Linear DE
$\dfrac{dy}{dx} + Py = Q$ : IF $= e^{\int P dx}$ ; $y \cdot \text{IF} = \int Q \cdot \text{IF}\, dx + C$ .

Skills to practise

Skill · medium

Differential Equations — Practice (coming soon)

Practice bank for this unit is in progress. You can still read the lessons above.