How can I give initial condition as given in following equation?

I am getting problem in giving boundary condition for differential equation

Answer 1

[Birdman]

Try this(requires Symbolic Toolbox):

syms x(t)
eq=diff(x,t)==5*x-3;
initCond=x(2)==1;
X(t)=dsolve(eq,initCond)

[Birdman]

See the attached model for its implementation in Simulink.

[Jaydeep Ashtekar]

Sorry...but not able to open this model...why is it so?

[Birdman]

What is your MATLAB version?

[Birdman]

Here is the oldest version that I could export. Use this.

Answer 2

[Torsten]

Take a look at the section

"Solve Differential Equation with Condition"

under

https://de.mathworks.com/help/symbolic/dsolve.html

The first example shows you how to set up your problem.

Best wishes

Torsten.

[Jaydeep Ashtekar]

Above answer is correct but I want to solve this equation by using Simulink block of integration.There I am not able give the above boundary condition t=2,x=1