Question

For partial differential equation if  b2-4ac =0 then equation is called ? ​

Answer 1

Answer:

The equation is called Quadratic.

Step-by-step explanation:

If b2-4ac = 0 , then it said equal or real solution.

Therefore,

the equation will be Quadratic.

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Answer 2

Answer:

The partial equation having b²-4ac = 0 will be parabolic in nature.

Step-by-step explanation:

b²-4ac represents the discriminant of any equation ,  It can be greater than 0 , can be equal to zero  and can be greater than zero. and according to which , its definition also changes .

If b²-4ac > 0 :

the partial differential equation which is having b²-4ac > 0 is known as hyperbolic differential equation.

If b²-4ac = 0 :

the partial differential equation which is having b²-4ac = 0 is known as parabolic differential equation.

If b²-4ac < 0 :

the partial differential equation which is having b²-4ac < 0 is known as elliptical differential equation.

Hence the given differential equation is a parabolic differential equation.