Question

From the partial differential
equation by elimination
arbitrary constant from
Z=ax+by+a²+b²
a) qx + by+p+q
b) px+qy + p²+q²
c) p+q
d) px+qy​

Answer 1

Answer:

y2=Ax2+Bx+C

A,B and C are to be eliminated.

Differentiating,

2ydydx=2Ax+B

Again differentiating

2yd2ydx2+2(dydx)2=2A

Again differentiating

2yd3ydx3+2dydxd2ydx2+4dydxd2ydx2=0

yd3ydx3+3dydxd2ydx2=0