The graph below depicts a direction field and solution curves for an ordinary differential equation. Choose the color curve that matches -2xy, y[0] = 2 dy dx 2.0 1.5 1.0 0.5 0.0 = 0.0 None of them Red Orange Blue 0.5 Yellow 1.0 1.5 2.0

Q: Find the equilibria of the differential equation, and construct the phase plot: y' (y − 3)(y – 5).…

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Q: Q3 Find dy/dx on the graph y3 sec/x2 + y2 = cos2x at point (1, 2).

A: The given function is, y3secx2+y2=cos2x

Q: y is related to x through the differential equation: dy dx = ax + bx² + dx³ and y = c whenx = 0…

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Q: a. = (x² − 1)(x² − 3) dx dt dx b. da = (x − 1)(x − 2)³ dt

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Q: The slope field of the indicated differential equation has been provided, together with a solution…

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Q: (N) (R) (V) = (A - y)² (B −y) = (y-A) (B-y) = y(y² + B) Answer: Answer: (P) = (A+y)(B+ y)² da (S) dx…

A: 1st we have to decide about equilibrium solution and then depends on inclination of slope line…

Q: dy Find the solution of the differential equation tanycotx – secycosx. b. cosy = -cosxln/ccosx/ d.…

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Q: The degree of the differential equation (y") +y' – y = x is а. 2 с. 1 h no decree

A: We are asked to find the degree of the differential equation.

Q: dy ycosy dt ||

A: Firstly we draw the graph then draw a phase line.

Q: Find the function y = f(x) whose graph passes through the point (5π/12,3.5)if dy/dx =cos(2x−π/3).

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Q: Let y = 5x². Find the change in y, i.e., Ay, when x = 1 and Ax = 0.3 Find the differential dy when x…

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