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MTH382 TMA3  5/10

1. Evaluate 2B(10,6)
15015

2. F(x,y)⩽M is called the ______ condition.
boundedness

3. f'(x)=F(x,f(x)),f(x0)=y0 is the _______ condition 
Lipschitz

4. Evaluate Γ(12)
π

5. A function f is said to be _______ with period T, If the domain of f contains x+T whenever it contains x and y, f(x+T)=f(x) for every value of x.
periodic

6. Evaluate Γ(4)
6

7. The coefficient of x2 in the solution of y'=1+xy by method of
1/2

8. The problem of finding a solution of Laplace equation which takes on given boundary values is known as _______ problem.
Dirichilet 

9. Evaluate ∫01‍tα-1(1-t)β-1dt
B(α,β)

10.  The _________ differential equation of order p is given by (1-x2)d2ydx2-2xdydx+dydx+p(p+1)y=0
Legendre

Evaluate ∫01‍tα-1(1-t)β-1dt
B(α,β)