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calculus

CALCULUS

Nairafame -October 06, 2025

Differential Calculus — Notes DIFFERENTIAL CALCULUS Definitions, for…

ENGINEERING MATHS

Find The Perimeter Of The Circle With The Equation 4x² + 4y² - 12x + 5 = 0

Nairafame -June 28, 2025

Perimeter of Circle from Equation nairafame.net Find the perimeter of the circle with the equat…

ENGINEERING MATHS

For any integer n>2 , the equation aⁿ + bⁿ = cⁿ has no positive integer solutions

Nairafame -June 28, 2025

For any integer \(n > 2\), the equation \(a^n + b^n…

ENGINEERING MATHS

When Algebra Fails: Solving Complex Equations with Bisection Method & Newton's Raphson Method

Nairafame -June 21, 2025

Starting with Bisection Method; The Bisection Method is a simple and reliable numerical technique for findin…

ENGINEERING MATHS

Solving Linear Systems with Gauss-Jacobi & Gauss-Seidel (Step-by-Step Example)

Nairafame -June 19, 2025

Gauss-Jacobi and Gauss-Seidel Methods: Theory and a Detailed Example The Gauss-J…

ENGINEERING MATHS

Using Leibniz's Rule to Prove 𝑈′( 𝑥 ) = 𝑈( 𝑥 ) From an Integral Definition

Nairafame -May 29, 2025

Solution Proof of U'(x) = U(x) Given that \[ U(x) = 1 + \int_0^x U(t) \, dt \] …

ENGINEERING MATHS

Initial Value Problem: Existence and Uniqueness Theorem for IVP Explained Step-by-Step

Nairafame -May 23, 2025

Initial Value Problem (IVP) - Existence and Uniqueness Proof To solve the Initial Value Problem: $$ X…

calculus

Solving First Order Differential Equation 𝑦 ′ = 𝑥 − 𝑦 Using Taylor and Euler Methods

Nairafame -May 09, 2025

Solving y′ = x − y Using Taylor and Euler Methods ODE Question Briefl…