# First Order Linear Differential Equations - Matlab Programming

Our differential equation is:

dy/dx = 2*x

## Matlab code for First Order Linear Differential Equations

Initial value of problem y(0) = 3

%first_order_linear_differential_equations.m

syms y(z);

% define the differential equation

ode = diff(y,x) == 2*x;

%define initial condition

cond = y(0) == 3;

ySol(x) = dsolve(ode,cond);

% run the programe

% type the ySol(x) in the command window and ENTER

%you get the answer