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A: We have to solve 3 questions as per guidelines Please repost other questions again
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A: topic - limits
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A: topic - composite functions
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- Solve the differential equation y'=5y(1000-y) subject to the initial condition y(0)=500 . From your solution, find the valueof the limit lim t →infinity of y(t)Z = 2xy what will be the partial differential coefficientIf 2x3+3ycos(xy)+(cx2y2+3xcos(xy))y'=0 is the exact differential equation then c =?
- Obtain the factored form a linear differential equation, with real and constant coefficients, that is satisfied by the given function: y=−2e^3xcosx+3xe^−xFind the differential coefficient f’(x) of the following implicit function: x3 - y3 + 2x = 3ya differential equation is classified as a homogeneous DE if one can directly isolate all functions of x with its derivative, dx, and isolate all functions of y with its derivative, dy.
- For the differential equation y' = 2y - x, draw line segments representing the slope field at the points (1, 2), (1, 1), (2, 2), and (2, 1).Find the differential dy of the given function. y = 3x2/3Consider the following differential equation.(x2 + y2)y′ = y2Let f(x, y) = y2/x2 + y2. Find the derivative of f.