Solve the initial-value problem: (dx/dt)+(tant)x=(cost)^2, x(0)=-1.
Use Euler’s method with h = 0.25 to obtain a numerical solution of
dy/
dx= −xy2
subject to y(0) = 2, giving approximate values of y for 0 "\\leq" x "\\geq" 1. Work throughout
to three decimal places and determine the exact solution for comparison.
Solve the following difference equation "\\Delta\\lambda^k=-k+5; \\lambda^6=0"
Discuss in detail all cases of the roots of a second order linear differential equation with constant
coefficients.
(D2 -2D +3)y = x2 -1