BS 3'd Term Examination 2020 Subject: Computer Science Paper: Differential Equations (MATH-2215) Time Allowed: 2:30 Hours Maximum Marks: 80

BS 3'd Term Examination 2020

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

Time Allowed: 2:30 Hours

Maximum Marks: 80

Note: Objective part is compulsory. Attempt any three questions from subjective part.

Objective Part

(Compulsory)

tadni.com

Q.1.

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

(16*2)

i: Define Cauchy-Euler's differential equation.

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

ill: 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?

vili: What is mean by exact differential equation?

ix: Solve2xydx+(x* -I)dy =

0.

x: Solvex'y"+ xy =

0.

xi: What is Bernoulli differential equation?

xii: Define criteria of linear independent solutions?

xiii Define fundamental set of solutions.

Hive Define superposition principle.

x: Solve y™ +3y* - 4y =

0.

xvi: Write the formula of Euler and Runge-kutta method.

ustadni.com

Subjective Part

(3*16)

taking h = 0.001.

Q.3.

Solvedy_ xy+2y -x-2

xy-3y + x-3

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

x'- 4x+y =2

Q.5. Solve by elimination<

x'+ x+ y=0

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

0.

visit website: ustadni.com