Week 9 0B2 OLD

Week 9 0B2 OLD

Assessment

Assessment

Created by

Nikesh Solanki

Mathematics

University

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Hard

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7 questions

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1.

Fill in the Blank

45 sec

1 pt

We use the substitution  y=vxy=vx  to solve what kinds of ODEs.

2.

Multiple Choice

30 sec

1 pt

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d) All the terms of N(x,y) have total degree m.

3.

Multiple Select

45 sec

1 pt

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What is a homogeneous ODE?

4.

Multiple Choice

45 sec

1 pt

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Why does the substitution y=vx, where v is another variable that depends on x, help to solve homogeneous ODEs.

a) It is a solution of the ODE.

b) It converts the ODE into a directly integrable one in the variables x and v.

c) It converts the ODE into a first order one in the variables x and v.

d) It converts the ODE into a separable one in the variables x and v.

5.

Multiple Choice

1 min

1 pt

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a) Yes

b) No

6.

Multiple Select

1 min

1 pt

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a) It is homogeneous.

b) It is separable.

c) It is not homogeneous.

d) It is not separable.

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