Differential equations Topics - IIT JEE Syllabus

1

2m2/10

📌 Key FormulaEquation involving derivatives of dependent variable w.r.t. independent variable.

2

2m2/10

📌 Key FormulaOrder = highest derivative, Degree = power of highest derivative after removing radicals and fractions.

3

2m3/10

📌 Key FormulaEliminating arbitrary constants from family of curves.

4

2m3/10

📌 Key FormulaIf dy/dx = f(x)g(y), then ∫ dy/g(y) = ∫ f(x) dx + C

5

2m5/10

📌 Key FormulaHomogeneous: dy/dx = f(y/x), substitute y = vx. Linear: Integrating factor IF = e^{∫ p dx}, solution y(IF) = ∫ q(IF) dx + C