Consider the following differential equation. (2x - 1) dx + (7y + 5) dy = 0 Let M = 2x - 1 and N = 7y + 5. Find the following partial derivatives. My Nx = Is the given differential equation exact? Yes Let No af -= 2x − 1. Integrate this partial derivative with respect to x, letting h(y) be an unknown functi ax f(x, y) = + h(y) Find the derivative of h(y). h'(y) = Find the general solution of the given differential equation. (If it is not exact, enter NOT.)

Q: Find all the second partial derivatives. F(x,y) = sin2(mx + ny)

A:

Q: Suppose u and v are differentiable functions of x. Use the given values of the functions and their…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: xy Find all second order derivatives for r(x,y)= 4x +9y

A: The given function is

Q: Find the second-order partial derivative. Find fy 2x. when f(x,y) = 8x y-7y+ 3. xy O A. 48xy O B. -…

A:

Q: Find a slope of the solution of y' = t – y at (3,1).

A: We have been given a linear differential equation dydt=t−y ______(i) (As y′=dydt)We have to find the…

Q: 2 2 x² + y² a² a. Show that when a = 1, the outward flux across the cone is zero. b. Find the…

A:

Q: Find using partial derivatives. dx dy dx = x2/3 + y²/3 = a2/3

A: Given query is to find derivative of the expression.

Q: 3) Find the first partial derivatives of the function f(x, y) Y) sin (et) dt = 2X

A: