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Ordinary Differential Equations — Formula Sheet

Tamil Nadu Board · Class 12 · Mathematics

3 formulas from Ordinary Differential Equations (Tamil Nadu Board Class 12 Mathematics) on one page, grouped by topic.

43 questions24 flashcards3 formulas & key relations5 concepts

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A labeled diagram explaining the definitions of order and degree of a differential equation with illustrative examples.
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3 Entries · 1 Section

Formulas and Key Relations

Key relations

In dy/dx = sin(x), the order is 1 (first derivative).

A linear differential equation has the form

aₙ(x)y⁽ⁿ⁾ + aₙ₋₁(x)y⁽ⁿ⁻¹⁾ + ... + a₁(x)y' + a₀(x)y = g(x).

A linear differential equation is homogeneous if the right side equals zero (g(x) = 0), otherwise it's non-homogeneous.

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Frequently Asked Questions

What are the important topics in Ordinary Differential Equations for Tamil Nadu Board Class 12 Mathematics?
Key topics in Ordinary Differential Equations include Order and Degree of Differential Equations, Classification: ODE, PDE, Linear, Nonlinear, Homogeneous, Formation of Differential Equations, General Solution and Particular Solution. Study these first, then practise questions on each for the Tamil Nadu Board Class 12 board exam.
How many formulas are in Ordinary Differential Equations?
This sheet lists 3 formulas from Ordinary Differential Equations, grouped by topic. Learn what each symbol stands for so you can apply the formula, not just recall it.
How should I revise Ordinary Differential Equations for the Tamil Nadu Board Class 12 board exam?
Learn the core ideas first, then work through the 43 practice questions on Ordinary Differential Equations. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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All Tamil Nadu Board Class 12 Mathematics Formula Sheet

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