Transforms And Partial Differential Equations: UNIT I: Partial Differential Equations

Questions And Answers

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Transforms And Partial Differential Equations: UNIT I: Partial Differential Equations: Questions And Answers

PART-A QUESTIONS AND ANSWERS

1. Explain how p.d.e are formed.

2. Form the p.d.e by eliminating the arbitrary constants a and b from z = ax + by.

[Ans. z = px+qy ]

3. Eliminate the arbitrary constants a and b from

z = ax + by + a² + b².

[Ans. z = px + qy + p² + q²]

4. Find the p.d.e. of all planes through the origin.

[Ans. z = px + qy]

5. Form the p.d.e by eliminating the arbitrary function from

z = f(x² - y²).

[Ans. py + qx= 0]

6. Obtain p.d.e. from z = ƒ (sin x + cos y)

[Ans. p siny + q cos x = 0]

7. Solve : =dz/dx= sin x

[Ans. z = - cos x + f(y)

8. Define general and complete integrals of a p.d.e.

9. Define complete integral and singular integral.

Transforms And Partial Differential Equations: UNIT I: Partial Differential Equations : Tag: : - Questions And Answers

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Partial Differential Equations - Introduction

Formation of partial differential equations by elimination of arbitrary Constants

Problems based on formation of p.d.e by elimination of arbitrary constants (a.c.) - Partial Differential Equations

Exercise [formation of P.D.E by elimination of arbitrary constants (a.c.)] - Partial Differential Equations

Formation of partial differential equations by elimination of arbitrary functions

Solved Example Problems based on formation of p.d.e by elimination of arbitrary functions - Partial Differential Equations

Exercise [formation of p.d.e by elimination of arbitrary functions] - Partial Differential Equations

Solved Example Problems based on Formation of p.d.e by elimination of arbitrary functions - Partial Differential Equations

Exercise [Form the p.d.e by eliminating the arbitrary functions] - Partial Differential Equations

Singular Integrals - Solution of Standard Types of First Order Partial Differential Equations - Partial Differential Equations

Exercise [partial differential equation]

Methods to solve the first order partial differential equation

Solved Example Problems based on First order Partial Differential Equations (p.d.e)

Exercise [First order Partial Differential Equations]

Solved Example Problems based on Type 2 Clairaut's form z = = px + qy + f (p, q) - Partial Differential Equations

Transforms and Partial Differential Equations

MA3351 3rd semester civil, Mechanical Dept | 2021 Regulation | 3rd Semester Mechanical Dept 2021 Regulation