engineering recuitment GATE ME 2023-24 Test Series Engineering Mathematics Numerical Methods Solutions of Differential Equations
If \(\frac{{dy}}{{dx}} = \frac{{{y^2} - {x^2}}}{{{y^2} + {x^2}}}\) ; y(0) = 1 and h = 0.2, then solving by fourth order Runge-Kutta method:
1
The increment in y is 0.1959
2
The decrement in y is 0.1959
3
The value of y(0.2) is 1.1959
4
The value of y(0.1) is 0.8041