## (solution) The initial value problem (dydt = 5e5t(y t)2 + 1, 0 t

The initial value problem   (dydt = 5e5t(y ? t)2 + 1, 0 ? t ? 1,

y(0) = ?1,)

has solution y(t) = t ? e?5t

.1) What is Taylor?s method of order 2 to solve the above initial value problem?

2) What is Runge-Kutta second-order (RK2) method to solve the above initial value problem?

3) What is Trapezoidal method to solve the above IVP.

4) Apply Runge-Kutta second-order (RK2) method and Trapezoidal method to solve the IVP. Use step size h = 0.2 and h = 0.25 respectively. Provide your matlab code, and fill in the following tables. (tables are in the screenshot)

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This question was answered on: Jan 30, 2021

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Jan 30, 2021

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