Find the differential coefficient: `x^a y^b=(x+y)^(a+b)`

Find the nth differential coefficients of y with respect to x following cases: y=(1)/(4x^(2)-1)

Find the differential coefficient of the following: If x^py^q=(x+y)^(p+q) then show that dy/dx=y/x

Find from definition the differential coefficients of the following : y = 4 " at " x = 3

Find by the definition the differential coefficient of the following: If y=(x^b/x^c)^(b+c) . (x^c/x^a)^(c+a) (x^a/x^b)^(a+b) find dy/dx

Find by the definition the differential coefficient of the following: If e^x+e^y=e^(x+y) find dy/dx

From the given data : and correlation coefficient is 2/3 . Find : (i) Regression coefficient b_(yx) and b_(xy) (ii) Regression line x on y. (iii) Most likely value of x when y=14.

Find the differential equation corresponding to y=a e^(2x)+b e^(-3x)+c e^x where a ,\ b ,\ c are arbitrary constants.

Find the differential equation from y = e^x (A cos x + B sin x) , where A and B are arbitrary constants.

What is the differential equation of y=A-(B)/(x)?

Find the differential equation for the following y = e^(3x) (A cos 2x+B sin 2x)