Question

Find partial differential equation of plane having equal x,y intercepts

Answer 1

Answer:

Clearly the equation of the plane x and y- intercepts are equal

Where a is the arbitrary constant

b is the intercepts for z

Therefore

x/a+y/a+z/c=0 --------------(1)

By differential with respective x from (1)

1/a+0+p/c=0

p/c=-1/a ---------(2)

Again By differential with respective y

0+1/a+q/c=0

q/c=-1/a------(3)

dividing 2 and 3 equations

p/c=-1/a,  q/c=-1/a

Where, p/q=1

So p=q

Hence proved

The plane x and y- intercepts are equal

Answer 2

Answer:

Step-by-step explanation: