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University of Sargodha BS 3*° Term Examination 2017. Subject: Computer Science Paper: Differential Equation (MATH: 2215) Time Allowed: 2:30 Hours

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Paper text

University of Sargodha

BS 3*° Term Examination 2017.

Subject: Computer Science Paper: Differential Equation (MATH: 2215)

Time Allowed: 2:30 Hours

Maximum Marks: 80

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

Objective Part (16 ×

Q.1

%. Verify that y = 9-

5e 20x is the solution of Differential Equation &y + 20y = 24

ii.

Define the mathematical model

Ki.

Find the general solution of higher order differential equation.

"3 -

74) - 18y = 0

*v.

Solve the Differential Equation «

Define the Explicit Solution of Differential Equation.

vi.

Find the value of K so that the differential Equation

ustadni.com

(03 + kxy*- 2x)dx + (3xy? + 20x}y)dy = 0 is an exact

Mi. Define the linear Differential equation

vili. Solve the Differential equation

dy = 5y

if. What is annihilator operator

Determine whether the set functions: fi(x) = x, f2(x) =x-1,6(r) = x+3 is lineeraly

•independent

XI.

xii.

Define homogeneous equation give an example

Solve the Diferential equation: =1+00 MO

xili. Write the linear system of equations:

ax = 4x - 7%. * = 5x in Matrix Tomm.

xir. Solve the Differential equation x? ay + xy = 1

xy. If ya = x sin(In x) is a solution of Differential Equation x-y" - xy' + 2y = 0 Find y2

xvi. Verify that the Differential Operator D2 + 3D - 10 annihilate the Function

y = e2x + 3c-5*

Subjective Part (4 ×

12)

02. 10 Solve the Differential equation using

Find solution of Differential Egral dini. C" - 4y + 1y = (* +

1) 3*

Q3.

Q4.

Find solution of Differential Equation

(x2+1)y" + xy'- xy'- y= 0

Solve the Differential Equation

y"+2y'+y sin x + +3cosgkadni.com

05.

Solve the system of Differential Equations

dx = 4x + 7y.

«y = x - 2y

Q6. - Solve the Differential Equations x'y" - 3xy' + 1y = 0, y(1) = 5, y'(1) = 3

Q7.

Solve the Differential Equations (x + 1)ºdx + (2xy + x2 - 1)dy = 0, y(1) = 1

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