USE THE FOLLOWING INFORMATION TO ANSWER QUESTIONS 1 TO 3 Consider the differential equation dy/dt =3t - 2y.Let y=g(t) be a solution to the differential equation with initial condition g(0)=k where k is constant. Euler's method, starting at t=0 when a step size of 1 gives the approximation g(2)=4.5 Questions : (1)Which option(s) is(are) correct using Euler's recursion method :    (i) t0 = 0; y0 =k. (ii) t1 =1.0;  y1 = - k (2) Which option(s) is (are) correct using Euler's recursion method :    (i) t2 = 2;   y2 =3 +k        (ii) t3 = 3  y3 =3 -k (3) The value of k is:?

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.