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Solve the following using Taylor’s Series Method (up to 3 terms): \[ \frac{dy}{dx} = x^2 + y, \quad y(0) = 1 \] Find \( y(0.2) \).

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in Electrical Engineering Mathematics

Solve the first-order PDE using Lagrange’s method \[ p + q = x + y \] where \( p = \frac{\partial z}{\partial x} \) and \( q = \frac{\partial z}{\partial y} \).

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in Electrical Engineering

Sketch signals given by following equations : 1. x(t) = u(t) - u(t-1) 2. x(t) = δ(t+1) - δ(t-1)

Sketch signals given by following equations : 1. x(t) = u(t) - u(t-1) 2. x(t) = δ(t+1) - δ(t-1)
Answer : Let's go through each equation step by step and describe how to sketch the signals. ### 1. \( x(t) = u(t) - u(t-1) \) - \( u(t) \) is the **unit step function**, which is 0 for \( ... a negative impulse at \( t = 1 \). If you'd like me to generate graphical sketches of these signals, let me know!...

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in Electrical Engineering Mathematics

Solve the linear homogeneous equation \[ D^2y - 5Dy + 6y = 0 \]

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in Electrical Engineering

Convert the following Boolean equation to standard SOP form and implement using NAND-NAND logic: (i) y = A'B'C' + ABC'D' + A'C'D' (ii) y = PQ + P'QR + PQR.

Convert the following Boolean equation to standard SOP form and implement using NAND-NAND logic: (i) y = A'B'C' + ABC'D' + A'C'D' (ii) y = PQ + P'QR + PQR.
Answer : Let's walk through how to convert the given Boolean equations to their standard Sum of Products (SOP) form and then implement them using NAND-NAND logic. ### Part (i): Boolean Equation: ... product terms. Both equations will need multiple layers of NAND gates to fully implement the required logic....

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in Electrical Engineering

A 3 phase line of 4 km length delivers 4000 kW at a p.f of 0.8 lagging to a load the resistance and reactance per km of each conductor are 0.2 Ω and 0.5 Ω respectively if the voltage at the supply end is maintained at 11 kV. Calculate the received end voltage and efficiency of line.
Answer : Let's break down the problem step by step and calculate the received end voltage and the efficiency of the line. ### Given Data: - Power delivered to the load, \( P = 4000 \, \text{kW} \) - Power factor, \( \text{p. ... voltage**: \( 10.43 \, \text{kV} \) - **Efficiency of the line**: \( 98.61\% \)...

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Solve the following using Taylor’s Series Method (up to 3 terms): \[ \frac{dy}{dx} = x^2 + y, \quad y(0) = 1 \] Find \( y(0.2) \).

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