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Differential Equations — Formula Sheet

IISER Aptitude Test · Mathematics

Free Differential Equations formula sheet for IISER Aptitude Test Mathematics 2026 — all important formulas, equations, and constants for quick reference.

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Formula Sheet — Differential Equations

Important formulas and equations from Differential Equations for IISER Aptitude Test Mathematics.

Formulas — Differential Equations

Basic Concepts & Order/Degree

F(x, y, y', y'', ..., y^(n)) = 0

Variable Separable Method

dy/dx = f(x)g(y)
∫dy/g(y) = ∫f(x)dx + C

Reducible to Variable Separable

dy/dx = f(ax + by + c)
Substitution: z = ax + by + c, dz/dx = a + b(dy/dx)

Homogeneous Differential Equations

dy/dx = f(x,y)/g(x,y) where f, g are homogeneous of same degree
Substitution: y = vx, dy/dx = v + x(dv/dx)

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Frequently Asked Questions

What topics are covered in Differential Equations for IISER Aptitude Test?
Differential Equations is an important chapter in IISER Aptitude Test Mathematics. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: Basic Concepts and Definitions, Formation of Differential Equations, Variable Separable Method, Homogeneous Differential Equations.
How important is Differential Equations for IISER Aptitude Test?
Differential Equations is a frequently tested chapter in IISER Aptitude Test Mathematics. Questions from this chapter appear regularly in previous year papers. There are 405 practice questions available for this chapter.
How to prepare Differential Equations for IISER Aptitude Test?
Start by understanding the core concepts, then solve practice questions. Focus on formulas and their applications. Use revision notes for quick review before the exam.

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