Answer to Question #226713 in Mechanical Engineering for Sai

Question #226713
Solve z=px+qy+√1+p
1
Expert's answer
2021-08-18T03:51:01-0400

Solution;

Assume by Clairauts equation;

Be a solution of ;

;

;

By substitution;

...(i)

Which is a complete solution.

To find the general solution;

Put b=f(a)

By substitution;

.....(ii)

Differentiate partially with respect to a;

....(iii)

Elimanite 'a' from (ii) and (iii) to get the general solution.

To find the singular solution;

Differentiate (i) w.r.t a;

....(iv)

Differentiate (i) w.r.t b;

.....(v)

By substitution;

...(vi)

Eliminate 'a' and 'b' between (i) and (vi) to find a singular solution.




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