Here is the direction field for the differential equation dy dt =1-t-y²

Q: Find dy/dt.

A: Given, y=9-4x3+2x; dxdt=-1,x=-3 To find dydt

Q: find the a general solution to dy/dt = {{-9,12},{6,-8}}y

A: (.)  Given ,            (.)  Consider a system of differential equation ,…

Q: Consider the differential equation rye) – Gry + 12y = 0. Show that the set { is linearly…

A: Given: x3y3-6xy'+12y=0 To find: xiri=1n is linearly independent.

Q: Find dx dt da dt at x = 5 if y=-x² - 1 and dy dt 1.

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Q: Find a linear operating point model of the differential equation: d²x dx + 3 + 2x = sin x dt2 dt a)…

A: Consider the provided question, Given D.E, d2xdt2+3dxdt+2x=sinx We need to find a linear operating…

Q: dy/dt= 2e-t/8, t is greater than or equal to 0

A:

Q: (a) Find the differential dy. y = 1/x+1

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Q: Consider the logistic equation in the form P'(t) = CP − P2. C = 4 Draw the directional field.

A: The part of slope line is called the lineal element.

Q: Find the differential of the function. H = x5y4 + y9z³ dH = Jdx + 1dy + 1) dz

A:

Q: d -e'(t² + 5) at t = 0. dt Find

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Q: Dy/dt = 2y(5-y) is the equation autonomous?

A: An autonomous equation is a differential equation in which the independent variable does not appear…