image Guest

You need to login to ask any Questions from chapter Complex-Integration of

Chapter:

Complex-Integration

1. A partial differential equation is one in which a dependent variable (say ‘y’) depends on one or more independent variables (say ’x’, ’t’ etc.)


Hint Answer

2. What is order of differential equation, y”+y’-x3y=sinx?


Hint Answer

3. Which one of following is not a criterion for linearity of an ordinary differential equation?


Hint Answer

4. What is degree of differential equation, 4x3-6x2 y3+2y=0?


Hint Answer

5. Which of following is not an example of linear differential equation?


Hint Answer

6. Which of following is not a standard method for finding solutions for differential equations?


Hint Answer

7. Given differential equation \(\frac{dy}{dx} = \frac{x^4-y^4}{(x^2+y^2)xy}\) degree of differential equation is _________


Hint Answer

8. Solution of a differential equation is any function which satisfies equation.


Hint Answer

9. The equation \(2\frac{dy}{dx} – xy = y^{-2},\) is an example for Bernoulli’s equation.


Hint Answer

10. The process of formation of differential equation is given in wrong order, select correct option from below given options.
1) Eliminate arbitrary constants.
2) Differential equation which involves x,y,\(\frac{dy}{dx}.\)
3) Differentiating given equation w.r.t x as many times as number of arbitrary constants.


Hint Answer

Nexttt

All Chapters

View all Chapter and number of question available From each chapter from

Differential Calculus

Differential Calculus

Partial Differentiation

Partial Differentiation

Maxima and Minima

Maxima and Minima

Curve Tracing

Curve Tracing

Integral Calculus

Integral Calculus

Multiple Integrals

Multiple Integrals

Ordinary Differential Equations – First Order & First Degree

Ordinary Differential Equations – First Order & First Degree

Linear Differential Equations – Second and Higher Order

Linear Differential Equations – Second and Higher Order

Series Solutions

Series Solutions

Special Functions – Gamma, Beta, Bessel and Legendre

Special Functions – Gamma, Beta, Bessel and Legendre

Laplace Transform

Laplace Transform

Matrices

Matrices

Eigen Values and Eigen Vectors

Eigen Values and Eigen Vectors

Vector Differential Calculus

Vector Differential Calculus

Vector Integral Calculus

Vector Integral Calculus

Fourier Series

Fourier Series

Partial Differential Equations

Partial Differential Equations

Applications of Partial Differential Equations

Applications of Partial Differential Equations

Fourier Integral, Fourier Transforms and Integral Transforms

Fourier Integral, Fourier Transforms and Integral Transforms

Complex Numbers

Complex Numbers

Complex Function Theory

Complex Function Theory

Complex Integration

Complex Integration

Theory of Residues

Theory of Residues

Conformal Mapping

Conformal Mapping

Probability and Statistics (Mathematics III / M3)

Probability and Statistics (Mathematics III / M3)

Numerical Methods

Numerical Methods / Numerical Analysis (Mathematics IV / M4)

Topics

This Chapter Complex-Integration consists of the following topics

Ordinary Differential Equations – First Order & First Degree

A partial differential equation is one in which a dependent variable (say ‘y’) depends on one or more independent variables (say ’x’, ’t’ etc.)

;

What is order of differential equation, y”+y’-x3y=sinx?

;

Which one of following is not a criterion for linearity of an ordinary differential equation?

;

What is degree of differential equation, 4x3-6x2 y3+2y=0?

;

Which of following is not an example of linear differential equation?

;

Which of following is not a standard method for finding solutions for differential equations?

;

Given differential equation \(\frac{dy}{dx} = \frac{x^4-y^4}{(x^2+y^2)xy}\) degree of differential equation is _________

;

Solution of a differential equation is any function which satisfies equation.

;

The equation \(2\frac{dy}{dx} – xy = y^{-2},\) is an example for Bernoulli’s equation.

;

The process of formation of differential equation is given in wrong order, select correct option from below given options.
1) Eliminate arbitrary constants.
2) Differential equation which involves x,y,\(\frac{dy}{dx}.\)
3) Differentiating given equation w.r.t x as many times as number of arbitrary constants.

;