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# Mathematical Methods MCQs

## Degree of the highest order partial derivative that appears in the equation called.

A. degree of partial differential equation

B. Order of partial differential equation

C. Homogeneity

D. None of these

**View Answer**

**A. degree of partial differential equation**

## Highest partial derivative occurring in the differential equation called.

A. Order of partial differential equation

B. Ordinary differential equation

C. Degree

D. Linearity

**View Answer**

**A. Order of partial differential equation**

## UuxU3y+(Uyz)2 is equation.

A. Linear

B. Non linear

C. Ordinary differential equation

D. Partial ordinary differential equation

**View Answer**

**A. Linear**

## A differential equation which have one or more independent variable called.

A. Ordinary differential equation

B. Linear

C. None linear

D. P.D.E

**View Answer**

**A. Ordinary differential equation**

## U” + 3U’ + 2U= ex is a.

A. None homogeneous

B. Homogeneous

C. Linear

D. None linear

**View Answer**

**A. None homogeneous**

## The differential equation du/dx +x cos u = sin x is.

A. Linear

B. Homogeneous

C. None linear

D. None homogeneous

**View Answer**

**C. None linear**

## Hamiltonian is a dynamical variable to measure energy , which is a sum of .

A. K.E

B. P.E

C. K.E + P.E

D. None of these

**View Answer**

**C. K.E + P.E**

## A Hamiltonian system of equation is reduced to the integration of a .

A. 2nd order differential equation

B. 1st order differential equation

C. Both A, B

D. None

**View Answer**

**B. 1st order differential equation**

## If the potential is time in_ dependent , then Hamiltonian would also be time.

A. Dependent

B. Independent

C. Both A & B

D. None

**View Answer**

**B. Independent**