Teaching JKPSC Lecturership Mock Test Series 2024-25 Engineering Mathematics Numerical Methods Solutions of Differential Equations
Runge-Kutta fourth order method is used to solve the differential equation \(\frac{dy}{dx}=y-x\). If the initial value y(0) = 2 and step-size is 0.1, then the value of k1, k2, k3, and k4 respectively is?
1
0.2, 0.2005, 0.2025, 0.2105
2
0.2, 0.205, 0.2025, 0.2150
3
0.2, 0.205, 0.2052, 0.2105
4
0.2, 0.2005, 0.2025, 0.2150