Class XII Mathematics
Chapter 8: Differential Equations
Standard NCERT & CBSE aligned study curriculum. Master concepts, track accuracy, revise weak areas, and challenge yourself with 9 customized practice modes.
Syllabus Sections
Example 1
Separable Differential Equation
Solve differential equation: dy/dx = (1 + y²) / (1 + x²).
Calculation Steps:
- 1Separate variables: dy / (1 + y²) = dx / (1 + x²).
- 2Integrate both sides: ∫ dy / (1 + y²) = ∫ dx / (1 + x²).
- 3Result: tan⁻¹(y) = tan⁻¹(x) + C.
Solution\tan^{-1}(y) = \tan^{-1}(x) + C