Evaluate the value of I = f(e²¹ − 6x)dx + (2xe²y + y)dy, where C is the parabola C y = x² - 4x from (0, 0) to (4,0).

Q: Find the flow streamlines associated with the indicated complex function. f(z) = iz

A: Given: fz=iz. We have to find the flow streamlines associated with the given complex function.

Q: Find all harmonic conjugates of u(x, y) = x³ - 3xy² + 2y.

A:

Q: Please solve

A: Consider the function

Q: b) Evaluate the value of I = S(e³y – 3x)dx + (6xey + y)dy, where C' is the parabola - C (0, 0) to…

A: One has to solve it by Green's Theorem.

Q: Find an equation that repesents C(t) = -2i + 3eit, 0 ≤ t ≤ 2π but traveling in the opposite…

A: Equation travelling in opposite direction

Q: dy as a function of x. Write the function in the form y = f(u) and u= g(x). Then find y = (- 2x +8)…

A: We know that ,  if y = f ( u ) and u = g ( x )  Then  dy / dx = f ' ( u ) • g ' ( x )

Q: Determine for which values of m the function (x) = xm is a solution to the given equation. d²y dy -…

A:

Q: Question #49 in the picture. Differential equations

A: We are given the differential equation,

Q: Find an equation that repesents C(t) = -2i + 3eit, 0 ≤ t ≤ 2π but traveling in the opposite…

A: Equation in opposite direction