Mathematics, 18.06.2020 17:57 missheyward30
Consider the following differential equation. (sin(y) β y sin(x)) dx + (cos(x) + x cos(y) - y) dy = 0 Let M = sin(y) β y sin(x) and N = cos(x) + x cos(y) β y. Find the following partial derivatives. My = cos y β sin(x) Nx = -sin (x) + cos(y) = sin(y) β y sin(x). Integrate each term of this partial derivative with respect to x, letting h(y) be an unknown function in y. f(x, y) = x sin(y) + y cos(x) + hy) Find the derivative of h(y). h'(Y) = -cos(y) β cos(x)
Is the given differential equation exact?
yes
no
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