Create a slope field of the differential equation dy = cos(t) + cos(y) dt and draw solutions corresponding to the initial conditions y(0) = 0.5, y(0) = 1.5, y(0) = 2.5 you may use the graphing window [0 4] × [0 3]

Q: Solve the separable differential equation Subject to the initial condition: y(0) = 9. y = 11x -…

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Q: Circle all of the following that describe this differential equation: y′ = y3(y − 6) (discuss why…

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Q: The direction field for a differential equation y = f(x,y) is shown below. Estimate, as accurately…

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Q: 3. Solve each equation. y(0) = 1, y' (0) = -1 (a) y" + 4y = 0, (b) y" + 5y = 0

A: We have to solve given problem:

Q: ion C(x)=10x+700 are produced. Find the  fixed co

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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: Find all general solutions of y'(t)=(t+1)(y(t)2-1). Leave the solution as the form y(t)= an…

A: Given data:     The given differential equation is: y’(t)=(t+1)(y(t)2-1).     The given differential…

Q: dx dt dT dP = = f'(t) (for instance, = -k(T - A) or dt dt Write a differential equation of the form…

A: To write a differential equation of the form dxdt = f'(t) that is a mathematical model of the…

Q: 4. Find a general solution to the equation y' – 3y = e" sin(2x). -

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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: Solve the initial value problem. (cosx)(dy/dx)+ysinx=6xcos2x, y(pi/3)=(-4pi2/3)

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