Problem 1
Which of the following is a step by step method : (o) Taylor' 5 (b) Adams-Bashforth (c) Picard's (d) None.
Problem 6
Using Runge-Kutte method of order four, the value of \(y(0.1)\) for \(y^{\prime}=x-2 y, y(0)=1\) taking \(h=0.1\) is (a) \(0.813\) (b) \(0.825\) (c) \(0.0825\) \((d)\) none.
Problem 12
Taylor's serices solution of \(y^{\prime}=-x y, y(0)=1\) upto \(x^{4}\) in
Problem 13
Ueing modified Euler's method, the value of \(y(0.1)\) for \(\frac{d y}{d x}=x-y, y(0)=1\) is (a) \(0.809\) (b) \(0.909\) (c) \(0.0809\) (d) none
Problem 22
If \(y^{\prime}=x, y(0)=1\) then by Picard's method, the value of \(y(1)\) is \(\ldots\) (a) \(0.915\) (b) \(0.905\) (c) \(0.981\) (d) none.
