Free Printable Mathematics Quiz

1.

dy-хde=0,у=

a)

х2/2+С

b)

х2+С

c)

2х2+С

d)

х3+С

e)

х+С

2.

dy-хde=0,у(2)=0 ->у=

a)

х2/2-2

b)

х2-2

c)

2х2-2

d)

х2/2+2

e)

2х2+2

3.

dy-6х2nd =0->у=

a)

2х3+С

b)

х2-С

c)

х+С

d)

2х2+С

e)

х3+С

4.

dy-2хdх=0,у(2)=4->у=

a)

х2

b)

х2-2

c)

2х2-4

d)

х2/2+2

e)

2х2+2

5.

sin2xdy+dx=0->y=

a)

ctgх+С

b)

cosx+С

c)

sinx+С

d)

tgx+С

e)

1/cosx+С

6.

the degree of the homogeneous function f(х,у)=х^2у-ху^2

a)

3.

b)

2.

c)

1.

d)

0.

e)

there is no right answer.

7.

the degree of the homogeneous function f(х,у)=х^2-у^2/ху?

a)

0.

b)

3.

c)

2.

d)

1.

e)

there is no right answer.

8.

the degree of the homogeneous function f(х,у)=tgх^2/у^2?

a)

0.

b)

3.

c)

2.

d)

1.

e)

there is no right answer.

9.

the degree of the homogeneous function xy f(х,у)=у^2-ху

a)

2.

b)

0.

c)

3.

d)

1.

e)

there is no right answer.

10.

the degree of the homogeneous function f(x,у)=lnх-lny ?

a)

0.

b)

2.

c)

3.

d)

1.

e)

there is no right answer.

11.

if DE y’=f(х,у) is homogeneous then its degree must be?

a)

0.

b)

2.

c)

3.

d)

1.

e)

there is no right answer.

12.

The substitution for solving homogeneous DE

a)

y=tx.

b)

y=t/x.

c)

y=x/t.

d)

y=t.

e)

there is no right answer.

13.

If y=tx then у’=?

a)

t’х+х

b)

t+x.

c)

t’х+1

d)

1+t.

e)

there is no right answer.

14.

If y=tx then dу=?

a)

tdx+xdt.

b)

dt+dx.

c)

tdx+1.

d)

xdt+1.

e)

there is no right answer.

15.

Choose the homogeneous DE

a)

у=sin(y/x).

b)

у=sin(x).

c)

у=sin(y).

d)

у=sin(yx).

e)

there is no right answer.

16.

dy-6х2dx =0,у(0)=0->у=

a)

2х3

b)

х2

c)

х

d)

2х2

e)

х3

17.

хdy-2уdx =0,->у=

a)

Сх2

b)

х2/2+С

c)

2х2+С

d)

Сх3

e)

Сх

18.

хdy-2уdx=0,у(1)=е->у=

a)

ех2

b)

х2/2-1/2+е

c)

2х2-2+e

d)

ех3

e)

ех

19.

хdy-2уdх=0,у(1)=1->у=

a)

х2

b)

х2/2+1/2

c)

2х2-1

d)

х3

e)

х

20.

(х4+2)dy=4х3ydx->у=

a)

С(х4+2)

b)

(х4+2)/2+С

c)

х4+С

d)

Сх3

e)

Сх

21.

(х4+2)dy=4х3уdx,у(0)=2->у=

a)

х4+2

b)

(х4+2)/2+1

c)

х4+3

d)

Сх3+2

e)

Сх+2

22.

dy/cosх-dx=0,у(п/2)=0->у=

a)

sinх-1

b)

соsх

c)

2/sinх-2

d)

ctgx

e)

х-п/2

23.

dy/sinx+dx=0->у=

a)

sinх+С

b)

cosx+С

c)

tgx +С

d)

1/соsx+С

e)

ctgx+С

24.

dy/sinx +dx=0,у(п/3)=0->у=

a)

cosx-0,5

b)

sinx-√3/2

c)

tgх-√3

d)

ctgx-1/3

e)

1/cosх/2

25.

sin2xdу+dx=0,у(п/4)=1->у=

a)

ctgx

b)

cosx+1-√2/2

c)

sinx+1-√2/2

d)

tgx

e)

1/cosx-√2

26.

cos2xdy-dx=0,y(п/3)=0–>у=

a)

tgx-√3

b)

ctgx-1/√3

c)

cosx-0,5

d)

sinx-√3/2

e)

1/cosx-2

27.

√1-х2dy-dx=0–>y=

a)

arccosx

b)

arcsinx+C

c)

arctgx+C

d)

arcctgx+C

e)

cosecx+C

28.

(1+х2)dy-dx=0–>y=

a)

arctgx+C

b)

arcctgx+C

c)

arcsinx+C

d)

arccosx+C

e)

cosecx+C

29.

(1+х2)dy+dx=0–>y=

a)

arcctgx+C

b)

arcsinx+C

c)

arccosx+C

d)

arctgx+C

e)

cosecx+C

30.

у’-2/х*у=х4,у(1)=4/3,у=

a)

y=х5/3+х2

b)

х2/2+хsinу-cosy=1

c)

у=х2/2+5/6

d)

у=-х2/2-х+е^х

e)

cosecх

31.

у’-2/х*у=х4,у(1)=2/3,у=

a)

х5+х2/3

b)

х^2/2+хsiny-cosy=1

c)

х^2/2+5/6

d)

-х2/2-х+е^х

e)

cosecх

32.

у’-2/х*у=х2,у=

a)

х3+Сх2

b)

х^5+х^2/3+С

c)

х^2/2+хsiny-cosy+C

d)

х^2/2+С

e)

-х2/2-х+е^х

33.

у’-2/х*у=х2,у(1)=2,у=

a)

х^3+х^2

b)

х^2/2+хsiny-cosy=1

c)

-х2/2-х+е^х

d)

х^2/2+3/2

e)

cosecx

34.

Тап:

a)

b)

c)

d)

e)

35.

Тап

a)

b)

c)

d)

e)

36.

Тап:

a)

b)

c)

d)

e)

37.

У=

a)

b)

c)

d)

e)

38.

у=

a)

b)

c)

d)

e)

39.

Тап:

a)

b)

c)

d)

e)

40.

Тап:

a)

b)

c)

d)

e)

Mathematics Quiz

Total questions: 40

Worksheet time: 20mins

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