MTH643 Current Papers Solution

Solved by M L!K HAFEEZ

MTH643 current papers

Q1. Find the numerical solution of the following equation using ode45 command and plot the curve on [0 2].

y’(x)=y-x2+1 , y(0)=0.5

Solution

clc clear all close all

xspan=[0,2]; y0=0.5;

plot(x,y)

Q2. Find the numerical solution of the following equation using ode45 command and plot the curve on [0 2].

y’(x)=y-x2+1 , y(0)=0.5;0.3;3

Solution

clc clear all close all

xspan=[0,2]; y0=0.5:0.3:3;

plot(x,y)

Q3. Find the numerical solution of the following equation using ode45 command and plot the curve on x=0:0.2:2

y’(x)=y-x2+1 , y(0)=0.5

Solution

clc clear all close all

xspan=[0:0.2:2]; y0=0.5;

plot(x,y)

Q4. Write a for loop to add first 20 numbers which are divisible by 5.

Solution

clc clear all close all sum=0; for k=5:5:100; sum=sum+k; end disp(sum)

Q5. Write a program which takes a value from user and then using for loop display all of its divisors.

Solution

clc clear all close all

i=x; for j=1:i; if mod(x,j)==0 disp(j) end end

Q6. Numerically approximate the solution of the following ode dy/dt=2t use time interval [0 5] and initial condition is y(0)=0 by using ode45 command.

Solution

clc clear all close all

tspan=[0 5]; y0=0; [t y]=ode45(f,tspan,y0) plot(t,y)

Q7. Write a function with name ‘myfunction’ which takes any two number as input and returns the greater number.

Solution

function [x,y]=myfunction(n1,n2) if n1>n2 fprintf(' The max number is n1') else fprintf(' The max number is n2') end