Class 12 Mathematics Chapter 9 Differential Equations – Revision Notes

Quick revision notes for Class 12 Maths Chapter 9 (Differential Equations). These Class 12 Mathematics Chapter 9 notes are ideal for quick revision just before exams.

Basics

• Order: highest derivative present. Degree: power of highest-order derivative.
• Formed by differentiating and eliminating arbitrary constants.

Solution Methods

• Variable separable: f(y)dy=g(x)dx, integrate both sides.
• Homogeneous: substitute y=vx.
• Linear dy/dx+Py=Q: IF=e^{∫P dx}, solution y·IF=∫Q·IF dx+C.

One-Line Summary

Differential equations relate a function to its derivatives; solved via variable separation, y=vx substitution for homogeneous forms, or integrating factors for linear forms.

Written by Satish

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