. The direct solution to following ODE is y = tan (2x). Use improved Euler's method (Heun's method) to compute approximate values for ten steps and compute error (difference between true value and approximate value). Use h = 0.05 and y(0) = 0. dy da = 2(1 + y²)

An electrical signal is given by the function y(t) = sin(Pi*t). Determinethe root mean square value of this signal between t = 0, andt = 1/2.