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

Solved Example Problems based on p.d.e equations reducible to standard form & p.d.e Type 6

Partial Differential Equations

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

Equations reducible to standard types:

A partial differential equation which is one of the four types.


We will see below a few types of equations, reducible in each case to one of the standard types.

 

III (c) Problems based on equations reducible to standard form :



which is the complete integral. Singular and general solutions are found out as usual.


Example 1.3c(2): Solve : p2 + x2y2q2 =x2z2


which is the complete integral. Singular and general solutions are found out as usual.

 

 

 

Example 1.3c(3): Solve: x2p2 + y2 q2

Solution: Given: x2p2 + y2 q2


which is the complete integral. The singular and general solutions are found out as usual.

 

EXERCISE 1.3.c

Find the complete integral of the following:


Type 6


 

Problem based on Type 6:



Example 1.3c(8): Solve. (p2 + q2) =x2 + y2

Solution :



Example 1.3c(10): Solve : (zp + x)2 + (zq + y)2 = 1

Solution :

Given: (zp + x)2 + (zq + y)2 = 1 ......(1)


 

EXERCISE [Type 6]

Find the complete integral of the following:


Transforms And Partial Differential Equations: UNIT I: Partial Differential Equations : Tag: : Partial Differential Equations - Solved Example Problems based on p.d.e equations reducible to standard form & p.d.e Type 6

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