DAE MATH-223

Applied Mathematics-II

Chapter 10 : Differential Equations

DAE Common Technologies | Second Year

Multiple Choice Questions

Chapter:10 (Differential Equations)

Question 1:

An equation involving one or more derivatives of a function is called.

Quadratic Linear Differential Cubic

Question 2:

Order of differential equation \({(\frac{{d^3}y}{dx^3})^2}\,+\,{\frac{dy}{dx}}\,+\,y\,=\,0\) is

2 1 0 3

Question 3:

Degree of differential equation \({\frac{{d^2}y}{dx^2}}\,+\,{(\frac{dy}{dx})^3}\,=\,0\) is

3 2 0 1

Question 4:

Solution of differential equation \({\frac{dy}{dx}}\,=\,1\) is

\(y\,=\,x\) \(y\,=\,x\,+\,c\) \(y\,=\,c\) \({y^2}\,+\,c\)

Question 5:

Solution of differential equation \(xdy\,+\,ydx\,=\,0\) is

\(y\,=\,c\,x\) \(y\,=\,x\) \(xy\,=\,c\) \({y^2}\,=\,{x^2}\,+\,c\)

Question 6:

Solution of differential equation \({\frac{dy}{dx}}\,=\,-\,y\) is

\(y\,C\,e^{-x}\) \(y\,=\,c\,e^x\) \(y\,=\,{e^x}\,+\,c\) \(y\,=\,{e^{-x}}\,+\,c\)

Question 7:

If \(x\,dy\,+\,y\,dx\,=\,0\) is the differential equation, Then its variables separable form is

\(y\,dy\,+\,y\,dx\,=\,0\) \({\frac{1}{y}}\,dy\,=\,{{\frac{1}{x}}\,dx}\) \({{\frac{1}{y}}\,dy}\,=\,{-\,\frac{1}{x}}\) \(x\,dy\,=\,-\,y\,dx\)

Question 8:

\(y\,=\,ln\,x\,+\,c\) is the solution of differential equation

\(x\,dy\,=\,dx\) \(x\,dx\,=\,dy\) \(dy\,=\,{\frac{1}{x}}\) \(dy\,=\,dx\)

Question 9:

Order of the differential equation \({\frac{{d^2}y}{dx^2}}\,+\,{\frac{dy}{dx}}\,+\,y\,=\,0\) is

1 2 0 3

Question 10:

Degree of differential equation \(x\,\,{(\frac{{d^3}y}{dx^3})^2}\,=\,1\) is

0 1 2 3

NOTE
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INSTRUCTOR
MUHAMMAD BIN JAMEEL
BSC ENGG. CIVIL

PBTE | DAE | MATH-223 APPLIED MATHEMATICS-I | MCQs | Chapter : 10 Differential Equations