Question

z=f1(x)f2(y) eliminate functions and form partial differential equation

Answer 1

Answer:

See the files above mentioned

-Yuvraj Thalikunte

Answer 2

CONCEPT:

Differentiation:Differentiation is a technique for determining a function's derivative. Differentiation is a mathematical process that determines the instantaneous rate of change of a function based on one of its variables.

A partial derivative is the derivative of a multivariable function. To find the partial derivative of the function f(x,y) with respect to x, differentiate with respect to x while keeping y constant.

GIVEN:

z=f1(x)f2(y)

FIND:

eliminate functions amd form partial differential equation

SOLUTION:

z=f1(x)f2(y)...........(1)

differentiating partially wrt to u;

dz/du=f1'(u)f2(y)

p=f1'(u)f2(y)...................(2)

differentiating (1) wrt to y

dz/dy=f1(u)f2'(y)

q=f1(u)f2'(y)...........(3)

Diff. equation 2partially wrt y,u

d2z/dudy=f1'(u)f2'(y)........(4)

(1)*(4)=(2)*(3)

z*d2z/dudy=dz/du*dz/dy

this is the required partial differential equation.

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