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Consider the Initial Value Problem

Question 52

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Consider the initial value problem
Consider the initial value problem     This question is related to using the Runge-Kutta method for approximating the solution y at t= 1.1 with a step size of h = 0.05. To find Y<sub>1</sub>, first calculate the following in order to apply the Runge-Kutta method. Express your answers accurate to seven decimal places. (i) K<sub>1</sub> = ________ (ii) K<sub>2</sub> = ________ (iii) K<sub>3</sub> = ________ (iv) K<sub>4</sub>= ________ (v) So, using the Runge-Kutta method, Y<sub>1</sub> = ________
This question is related to using the Runge-Kutta method for approximating the solution y at t= 1.1 with a step size of h = 0.05.
To find Y1, first calculate the following in order to apply the Runge-Kutta method. Express your answers accurate to seven decimal places.
(i) K1 = ________
(ii) K2 = ________
(iii) K3 = ________
(iv) K4= ________
(v) So, using the Runge-Kutta method, Y1 = ________

Correct Answer:

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(i) -22
(ii) -7.3745...

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