Solve this differential equation using
Matlab
yy' + xy2 =x , with y(0)=5 for x=0 to 2.5 with a step
size 0.25
(a) Analytical
(b) Euler
(c) Heun
d) 4th order R-K method
Display all results on the same graph
Consider the differential equation:
y'(x)+3xy+y^2=0.
y(1)=0. h=0.1
Solve the differential equation to determine y(1.3)
using:
a. Euler Method
b. Second order Taylor series method
c. Second order Runge Kutta method
d. Fourth order Runge-Kutta method
e. Heun’s predictor corrector method
f. Midpoint method
3. Solve the following differential equation
x^2y’’ − 2xy’ + 5y = 0.
A coil spring is suspended from the ceiling, a 16-lb weight is
attached to the end of it, and the weight then comes to rest in its
equilibrium position. The mass is in a medium that exerts a viscous
resistance of 8 lb when the mass has a velocity of 1 ft/s. It is
then pulled down 12 in. below its equilibrium position and released
with an...