Math-2

Unit-1: Ordinary Differential Equations of Higher Order

Unit-1: Ordinary Differential Equations of Higher Order 1. Linear Differential Equation of nth Order with Constant Coefficients General form: \[ a_n \frac{d^ny}{dx^n} …

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ODE Higher Order - Formulas + Solved Examples

Unit-1: Ordinary Differential Equations of Higher OrderFormulas + Solved Examples 1. Linear Differential Equation of nth Order with Constant Coefficients General form: …

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Legendre Differential Equation

Legendre Differential Equation The Legendre equation appears in Unit-1 (variable coefficient equations) especially in engineering physics and boundary value problems. Standard form: …

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Unit-2: Laplace Transform - Complete Formulas & Examples

Unit-2: Laplace Transform (Complete Theory + Formulas + Solved Examples) 1. Definition of Laplace Transform \[ \mathcal{L}\{f(t)\} = F(s) = \int_{0}^{\infty} e^{-st} …

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Unit-3: Sequences & Series + Fourier Series - Complete Notes

Unit-3: Sequence and Series + Fourier Series (Complete Theory + Formulas + Solved Examples) 1. Sequence A sequence is a function whose …

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Unit-4: Complex Variable – Differentiation (Complete Theory + Formulas + Examples)

Unit-4: Complex Variable – Differentiation(Complete Formulas + Theory + Solved Examples) 1. Functions of Complex Variable Let \( z = x + …

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Unit-5: Complex Variable – Integration (Complete Theory + Formulas + Solved Examples)

Unit-5: Complex Variable – Integration(Complete Formulas + Theory + Solved Examples) 1. Complex Line Integral \[ \int_C f(z) \, dz = \int_a^b …

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