- #1

Rachelross

- 4

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## Homework Statement

Write a script file to solve the DE dx/dt=1/x^2+tanh(t+1)+C using Euler's method .Solve the equation from t0 to t1 using step size h =0.02 and initial condition x(0)=5.Find the value of x(t1) for values of C from -3 to -1 in steps of 0.1 .plot x(t1) for different values of C

## Homework Equations

I managed to write the code ,but I am not too sure how to plot x(t1) for different values of C .Can someone help please?

## The Attempt at a Solution

% script file to solve a differential equation using Euler's method

clear all

clc

% set initial conditions, integration limits, and step size

x0 = 5;

t0 = 0;

t1 = 3;

h = 0.02;

%set up an array of t points

t = [t0:h:t1];

N = length(t);

%initialise the x array

x = zeros(1,N); x(1) = x0;

for C=-3:0.1:-1

for I = 2:N

% calculate the function

f = 1/((x(I-1))^2)+tanh(t(I-1)+1)+C;

% Euler's method

x(I) = x(I-1) + h*f;

end

end

final_x=x(N)