SOLVE STEP BY STEPDONT USE CHATGPT2. Solve the following first-order differential equation.1dy_¹(5 + x) ydx 4=Initial condition! y(0) = 2Using the second order Runge Kutta method on the interval. 0≤x≤0.8Considering a constant increase h = 0.2

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Answered: 2. Solve the following first-order…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Graph the differential equation:
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A ball at 1200K is allowed to cool down in air at an ambient temperature of 300K Assuming heat is lost only due to radiation, the differential equation for the temperature of the ball is given by. dT dt = -4.00 10-12 (7-81 10), and To-170 Find the temperature at t=440 seconds using RK4 method. Assume a step size of h= 220 seconds. NA 0.0288 208 222.2 O 170 176.3
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The differential equation: d² x dt.² has a solution given by: y = Aemx + Benx where m = 2.7 and n = -2.99 are real. a + b + cx = 0 dx dt If the initial conditions are y = 1.8 and dy/dt = 3.1 when x = 0, find the values of B. Give your answer to 3 decimal places.

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2. Solve the following first-order differential equation. dy dx 4 (5 + x) y Initial condition y(0) = 2 Using the second order Runge Kutta method on the interval. 0≤x≤0.8 Considering a constant increase h = 0.2