(a) Find by Taylor's series method, the values of $y$ at $x = 0.1$ to…

Question

(a) Find by Taylor's series method, the values of $y$ at $x = 0.1$ to four decimal places from $\frac{dy}{dx} = 3x + y^2, y(0) = 1$.

(b) Using Picard's method, find the value of $y$ at $x = 1$ for the initial value problem $\frac{dy}{dx} = y + x, y(0) = 1$.

(c) Compute $y(1.1)$ by using Runge-Kutta method of 4th order for the initial value problem $\frac{dy}{dx} = x - y, y(1) = 1$.

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• Taylor's Method — topic
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