12. p + q= sin x+ sin y. [Madras 1993, Karnataka 1993]
Ans: z
= a(x − y) −(cos x+ cos y) +c
13. z = px + qy + p
2
+ q
2
.
Ans: z = ax+by+a
2
+ b
2
14.
22
1zpxqypql=++++.
Ans:
22
1
z
axbyabl=++++
15. z = px + qy +sin(p + q).
Ans: z = ax
+by+ sin(a + b)
12.12 EULER’S METHODOF SEPARATION
OF VARIABLES
When we model scientific, ...
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