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

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

Partial Differential Equations

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

EXERCISE 1.1(a) 

1. From the partial differential equations by elimination the arbitrary consants a &b


   

    

EXERCISE 1.1(b) (1): Obtain the  p.d.e by eliminating a,b,c from


Note: The answer is not unique, we can get other equivalent partial differential equations.


EXERCISE 1.1(b) (2): Find the differential equation of all sphares whose radii are the same.

Sol. The equation of all spheres with equal radius can be taken as



EXERCISE 1.1(a) (3)

1. Form the partial differential equations by eliminating the arbitrary constants a,b & c from z= ax +by  + cxy


Note: The answer is not unique, we can get two other equivalent partial differential equations.


Example 1.1(b)

Form the partial differential equation by eliminating the arbitrary constants a, b & c as the case may be


Transforms And Partial Differential Equations: UNIT I: Partial Differential Equations : Tag: : Partial Differential Equations - Exercise [formation of P.D.E by elimination of arbitrary constants (a.c.)]

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