sum tht is remembrd m sharing here.
a)matrix A nd value of lembda was given to find the eigen vector? 3 marks.
b)X'=AX was given to find the eigenvalue and eigen vector? 5 marks.
c)solve DE dy-7dx=0 for initial value f(0)=1? 5 marks.
d)find the general solution of 4x^2 y '' + 4xy' (4x^2-25)y=0 (it is the Bessel's Equation. nd same question is given in exercise pg 314 of our handouts)? 5 marks
e)when a function is said to be analytic at any point? 2 marks
f) what is the ratio test? (its on pg 264 of our handouts) 5 marks
g) what is the formula for radius of convergence? (its on pg 265 of our hndouts)2 marks
h)write system of linear differential equations for two variables x and y? (its on pg 333 of our handouts).2 marks
i) write any 3 D.Es of order 2? 3 marks
j) D.E was given to convert in normal form? 3 marks
k) any example of boundary value problem? 2 marks
power series sy ziada nhi tha. lectre 35 to 45 pr ziada emphsis tha. nw thts all.
a)matrix A nd value of lembda was given to find the eigen vector? 3 marks.
b)X'=AX was given to find the eigenvalue and eigen vector? 5 marks.
c)solve DE dy-7dx=0 for initial value f(0)=1? 5 marks.
d)find the general solution of 4x^2 y '' + 4xy' (4x^2-25)y=0 (it is the Bessel's Equation. nd same question is given in exercise pg 314 of our handouts)? 5 marks
e)when a function is said to be analytic at any point? 2 marks
f) what is the ratio test? (its on pg 264 of our handouts) 5 marks
g) what is the formula for radius of convergence? (its on pg 265 of our hndouts)2 marks
h)write system of linear differential equations for two variables x and y? (its on pg 333 of our handouts).2 marks
i) write any 3 D.Es of order 2? 3 marks
j) D.E was given to convert in normal form? 3 marks
k) any example of boundary value problem? 2 marks
power series sy ziada nhi tha. lectre 35 to 45 pr ziada emphsis tha. nw thts all.
