Solve by using Milneβs predictor-corrector method
10.C] Given , π¦(0) = 1, π¦(0.1) = 1.06, π¦(0.2) = 1.12, π¦(0.3)=1.21, evaluate π¦(0.4) by using Milneβs predictor-corrector method.
10.C] Given , π¦(0) = 1, π¦(0.1) = 1.06, π¦(0.2) = 1.12, π¦(0.3)=1.21, evaluate π¦(0.4) by using Milneβs predictor-corrector method.
2.C] Show that .
2.B] Evaluate xyz dxdydz.
8.A]Using the Newton-Raphson method, find the root of 3π₯ = πππ π₯ + 1 correct four decimal places.
7.C] Evaluate by taking 7 ordinates by Simpsonβs 1/3 rd rule.
7.B] Using Newtonβs forward interpolation find y at x = 5 from the data:- x 4 6 8 10 y 1 3 8 16
6.B] Solve = sin π₯ sin π¦ for which = β2 sin π¦ when x= 0 and z = 0 when y is odd multiple of .
1.B] Find the volume bounded by the cylinder π₯2 + π¦2 = 4 and the planes π¦ + π§ = 4 and π§ = 0, by using double integration
10 c] Applying Milnes Predictor β Corrector method, to find y(1.4), from given that y(1)=2, y(1.1)=2.2156, y(1.2)=2.4549, y(1.3)=2.7514
10 b] Using the Runge-Kutta method of order 4, find y at x=0.1, given that ,y(0)=1