Free Printable Introduction to Differential Equations

1.

An equation that contains only ordinary derivatives of one or more dependent variables with respect to a single independent variable

a)

Dependent Differential Equation

b)

First Order Differential Equation

c)

Partial Differential Equation

d)

Ordinary Differential Equation

2.

An equation containing derivatives of one or more dependent variables with one or more independent variables?

a)

Partial Equation

b)

Different Equation

c)

Differential Equation

d)

Ordinary Equation

3.

An equation containing partial derivatives of one or more dependent variables of two or more independent variables

a)

Ordinary Partial Differential Equation

b)

Partial Differential Equation

c)

Ordinary Differential Equation

d)

Partially Ordinary Differential Equation

4.

\frac{\text{d}x}{\text{d}y}=\cos\ x

is an ordinary differential equation

a)

True

b)

False

5.

a)

is a differential equation

b)

is not a differential equation

c)

either ordinary or partial differential equation

d)

neither ordinary of partial differential equation

6.

it is number of the highest degree in a differential equation

a)

variable

b)

degree

c)

order

d)

derivative

7.

The power of the differential equation's highest derivative, after the equation has been made rational and integral in all of its derivatives

a)

order

b)

degree

c)

exponent

d)

variable

8.

which is true?

a)

it is a partial differential equation

b)

it is an ordinary differential equation

c)

it is not a differential equation

d)

it is an equation that cannot be differentiated

9.

when the dependent variable and all of its derivatives are of the first degree, the equation is

a)

non linear

b)

linear

c)

both linear and non linear

d)

none of the options

10.

an equation is non-linear if the coefficients depend at most on the "independent" variables

a)

True

b)

False

11.

in $\frac{\text{d}x}{\text{d}y}$ , which is the dependent variable?

a)

x

b)

y

c)

d

d)

secret

12.

in $\frac{\text{d}y}{\text{d}x}$ , the independent variable is

a)

x

b)

y

c)

d

d)

none of the options syempre!

13.

$\frac{\partial x}{\partial y}$ is a partial derivative

a)

Yes

b)

No

c)

neither

d)

Either

14.

Check all ordinary differential equation

a)

$\frac{\text{d}x}{\text{d}t}=5x-3$

b)

$\frac{\partial x}{\partial y}-2=3xy$

c)

$\left(x^2+y^2\right)dx-2xydy=0$

d)

$\left(\frac{\partial^3W}{\partial x^2}\right)^3=xy\frac{\partial^2W}{\partial y^2}+\frac{\partial^2W}{\partial z^2}=0$

15.

Check all partial differential equation

a)

$\frac{\text{d}x}{\text{d}t}=5x-3$

b)

$\frac{\partial x}{\partial y}-2=3xy$

c)

$\left(x^2+y^2\right)dx-2xydy=0$

d)

$\left(\frac{\partial^3W}{\partial x^2}\right)^3=xy\frac{\partial^2W}{\partial y^2}+\frac{\partial^2W}{\partial z^2}=0$

Introduction to Differential Equations

Total questions: 15

Worksheet time: 8mins

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