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Theory

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Simulation

Posttest

References

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Application to Ordinary Linear Differential Equations and Engineering Problems

Choose difficulty:

Beginner

Intermediate

Advanced

Which of the following is a differential equation

a:

dy/dx+3x

Explanation

Explanation

b:

dy/dx+loge^{y}

Explanation

Explanation

c:

dy/dx+

cos

(dy/dx)

Explanation

Explanation

d:

x^{2} +

log

y=0

Explanation

Explanation

If

y=

sec²

x+3

, then which of the following is true

a:

dy/dx=-

cosec

x

.(tan

x

) Explanation

Explanation

b:

dy/dx=2

sec

x+3

Explanation

Explanation

c:

dy/dx=2

sec

x

.(tan

x

) Explanation

Explanation

d:

dy/dx = 2

sec²

x·

tan

x

Explanation

Explanation

If

dy/dx=2x+3

, then which of the following cannot be true:

a:

y=2

Explanation

Explanation

b:

y=x^{2}+3x

Explanation

Explanation

c:

y=x^{2}+3x+

log(529) Explanation

Explanation

d:

y = x^{2} +e{2}

Explanation

Explanation

Which of the following is true

a:

d/dx

operates on

f(x)

and on 2 Explanation

Explanation

b:

d/dx

operates on

f(x)

but not on 2 Explanation

Explanation

c:

d/dx

operates on 2 but not on

f(x)

Explanation

Explanation

d:

d)d/dx

does not operate on both

f(x)

and 2 Explanation

Explanation

What are the order and the degree of the differential equation

d^{2}y/dx^{2}+y.(dy/dx)^{3}=4

a: 1 and 2 Explanation

Explanation

b: 2 and 1 Explanation

Explanation

c: 1 and 3 Explanation

Explanation

d: 2 and 3 Explanation

Explanation

If

y=x^{3}

, then

(dy/dx)^{2}+d^{2}y/dx^{2}

equals

a:

9x^{2}+6x

Explanation

Explanation

b:

9x^{4}+6x

Explanation

Explanation

c:

3x^{4}+3x

Explanation

Explanation

d:

6x^{2}+9x

Explanation

Explanation

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