Consider the following differential equation. (2x - 1) dx + (7y + 5) dy = 0 Let M = 2x 1 and N = 7y + 5. Find the following pa

Transcribed Image Text: Consider the following differential equation. (2x1) dx + (7y + 5) dy = 0 Let M = 2x - 1 and N = 7y + 5. Find the following partial derivatives. 0 My N₂ = = 0 Is the given differential equation exact? Yes No Let af = 2x - 1. Integrate this partial derivative with respect to x, letting h(y) be an unknown function in y. əx 2 F(x, y) = x² X Find the derivative of h(y). h'(y) = 7y + 5 + h(y) Find the general solution of the given differential equation. (If it is not exact, enter NOT.) x²-x+ 71723² + 5y + C x