MATH-6231 - Differential Equation oed answer key

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#MATH-6231
Awesome StudentQuestion • Differential Equation

For the differential equation dy/dx = 4sin2x, what is the particular solution if y=2 when x=pi/2

Answer

-2cos2x

#MATH-6231
Awesome StudentQuestion • Differential Equation

It is a differential equation whose unknown function depends on two or more independent variables

Answer

Partial Differential Equation

#MATH-6231
Awesome StudentQuestion • Differential Equation

It is the highest power of the highest differential which the equation contains after simplification

Answer

Degree of Differential Equation

#MATH-6231
Awesome StudentQuestion • Differential Equation

When the right-hand side is not equal to zero it is referred to as ahomogeneous differential equation

Answer

False

#MATH-6231
Awesome StudentQuestion • Differential Equation

To be able to solve simple partial differential equations which of the following knowledge is required?

Answer

All of the above

#MATH-6231
Awesome StudentQuestion • Differential Equation

A solution to a differential equation which contains one or more arbitrary constants of integration is called:

#MATH-6231
Awesome StudentQuestion • Differential Equation

When the right-hand side of the differential equation is zero, it is referred to asa homogeneous differential equation

#MATH-6231
Awesome StudentQuestion • Differential Equation

The simplest form of partial differential equations occurs when a solution can be determined by direct partial integration

#MATH-6231
Awesome StudentQuestion • Differential Equation

When the right-hand side of the differential equation is zero, it is referred to asa non-homogeneous differential equation

#MATH-6231
Awesome StudentQuestion • Differential Equation

It is a differential equation whose unknown function (dependent variable usually y) depends on only one independent variable

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