PART 8

4.3. Fit a curve of the form y=aebx
०4 | 08 | 1.2 | 1.6 20 24

75 |100 140 [200 270 | 375

5௮. Fit a quadratic spline to the given data

6.9. If dy/dx —xy +Y2, y(O)= 1, find y(0.3) using R-K method, h=0.1

PART C

7.3. Explain different approaches of weighted residual method

0. x(d2y/dx2) + y = 0, y(I)= 1, y(2)=2, find y(1.75)

8.a. What is a boundary value problem? How is it different from initial value 3problem

b. Solve uxx + = 0 for the square mesh with boundary values as shown

50

9.a. Explain the classification of partial differential equations

0. Solve ut = uxx; = 510 nx, u(0,t) = 0 using (- method for two time steps. 91
1/3, 1/4