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GATE Mathematics 2014 Paper

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Question : 41

Total: 55

The fourth order Runge-Kutta method given by uj+1=uj+

[K1+2K2+2K3+K4], j=0,1,2,...., is used to solve the initial value problem

=u,‌u(0)=α. If u(1)−1 is obtained by taking the step size h=1, then the value of K4 is ______

1.03 to 1.05
1.01 to 1.03
1.00 to 1.01
1.01 to 1.05

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