Differential Equation BS/MPhil Computer Science/MS Computer Science 3 Semester/Term University Of Sargodha (UOS) 2020

University of Sargodha

BS 3rd Term Examination 2020

Subject: Computer Science Paper: Differential Equations (MATH-2215)

Time Allowed: 2:30 Hours

Maximum Marks: 80

Note:

Objective part is compulsory. Atteipt any three questions from subjective part.

Objective Part

(Compulsory)

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Q.1.

Write short answers of the following in 2-3 lines each on your answer sheet.

i: Define Cauchy-Euler's differential equation.

il! Find integral factor of xy'+ y=x?

ii: Define linear and non-linear differential equation.

iv: Find solution by separable of variable of y + sin x=0?

v: What is mean by solution of ODE's?

vi. What is mean by implicit and explicit solution of ODE's?

vii: Define a homogeneous and non-homogeneous differential equation?

viii:

What is mean by exact differential equation?

ix: Solve 2xydx + (x- 1)dy =

0.

x. Solvex'y"+ xy' =

0.

xi: What is Bernoulli differential equation?

xii: Define criteria of linear independent solutions?

хії:

Define fundamental set of solutions.

wat-

Deime superposition principle.

xV: Solve y™+ 3y"- 4y =

0.

XVi:

Write the formula of Euler and Runge-kutta method.

(16*2)

Subjective Part

(3*16)

Q.2.

Q.3.

hi kar me up our stil lies 2-32 01 0) = and find 132)

taking h =0.001.

Solved_ xy+2y-x-2

xy - 3у + x-3

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0.4.

Solve by variation of parameter xy" - 3xy' + 3y = 2x*e*

x'-4x+y =1

Q.5.

Solve by elimination

Q.6. Find the series solution of xy + y =

0.

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