Solution of ordinary differential Equation
OBJECTIVE To solve ordinary differential Equation LEARNING OUTCOMES After the completion of this experiment students will be able to solve ordinary differential Equation SOFTWARE USED: MATLAB ® R2017a 1. Solve the first order differential equation With initial condition x(0)=1 Program syms x(t); eqn= diff(x,t)+ 2*x ==0; cond= x(0)==1; soln= dsolve(eqn,cond) t=0:0.05:10 s=subs(soln) plot(s) title('Response of firt order differential equation') xlabel('time') Output soln = exp(-2*t) 2. solve second order differential equation Program syms x(t) ; eqn= diff(x,t,2) + 2*diff(x,t) + 2*x == exp(-t); soln= dsolve(eqn); soln=simplify(soln) OUTPUT soln = exp(-t)*(C4*cos(t) + C5*sin(t) + 1) 3. Solve the differential equation cos(2*x)-y y(0)=1 y’(0)=0 PROGRAM syms y(x) Dy = diff(y); ode = di...