Verify that an exact solution exists for the logistic difference equation U1+1 = ru,(1 – u,), r>0 in the form u, = A sin² a' by determining values for r, A and a. Is the solution (i) periodic? (ii) oscillatory? Describe it! If r > 4 discuss possible solution implications.

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A: In general, a finite difference approximate to the value of some derivative of a function at a point…

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Q: Could you help me solve a problem. Its an explicit formula pertaining to 'Pn=P0(1+r)'n . My equation…

A: Pn = Po(1+r)n 2060=31(1+r)92

Q: QU 3 a). A drug in the blood stream decays by according to the equation y'= Cy, where y is the…

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Q: 1- - 3 - 2x az az Solve 2-

A: NOTE:We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

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A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: - 1. Find the first derivative of the function S(x)=x² sec ) completely and simplify your answer.

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Q: Differential Calculus Find the third derivative of the ff: 1) y x 1-ex 2) y = 2ex - 8x 3) y = 6ex -…

A: We have to find the third derivative of the given function.

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Q: 6 2) Find the 3rd derivative of y = (x-1)2

A: Given: y=6x-12

Q: Question 20 Find the derivative: x²(x² + y²) = y² y = - fo Ov fi P r(2x+y) (1-²) v(22:²-²) x(1+z²)…

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Q: 3. y = In ((x+2), (х-1)2

A: Since you have posted multiple question in this question so I have solved first question as per our…

Q: Question 4 What is the second derivative of y = csc* (2x) ? A y"= -8 csc“ (2x) cot (2x) B y" = 16…

A: Please see the answer below.

Q: 5

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Q: A) Differentiate y = 4Vx +- + 10 8 B) Find the second derivative of y = 4Vã + + 10 C) Find the…

A: As per our guidelines  we can solve only  3 subparts of a question . The rest can be reposted.  In…

Q: 3. Find all solutions of the DE y"-12 y'+36 y=16 te (where t is a real constant) 6 x

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Q: 5. Iny+ea²²x+y = 10 -

A: The given equation is lny+ex2y2-x+y=10. Find the derivative of the equation. Here we use the…

Q: how did this equation Hx = exp P (ny + ). ož = vi[exp (o,) – 1] turned into this equation 1 In Hy =…

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Q: Find the derivative of each function. Show all your work and simplify the result completely.…

A: Since you have posted multiple questions, we will solve the first question for you. If you want any…

Q: Provide an appropriate response. Find the derivative of y= Oy = 9x2 + 8x-3 Oy=9x2 + 8x-3 9x² y' =…

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Q: The derivative of the function y = 7x² + 12 – is: - 15 a) y' = 14x + x2 15 %3D b) y' = 14x + %3D c)…

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Q: 2. %3D

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Q: You can use the Law of Cosines (see Figure 3.41) to find an equation that relates and 0. Figure 3.41…

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Q: Solving by variation of parameter y" – 2y' + y = e* log x, the value of W(y1y2) is

A: Let's find.

Q: 3. (a) Find f dr. (b) Two students were working together to compute dx. Student A used the…

A: Given query is to find the Integral.

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Q: Q2) An integrating factor of (x²+e³)dx + (e³ + 2ye¯)dy = 0 is = (A) e-* (B) e (C) e- (D) e (E) e-2x

A: "Since you have posted multiple questions, we will provide the solution only to the first question…

Q: (P-rule) 9. y=XN2X+ | %3D rewrite y

A: Given that:y=x2x+1

Q: a) Find the derivative of the following functions: i) f(x) = x Inx ii) f(x) = iii) f(x) = 1 4* iv)…

A: Solution:-

Q: Find the derivative of 5e* 1. y = e 6x 3. y = 2x+3x 2. y = e* + e3x 4. y = (e* + ex)1/2

A: Quotient Rule of differentiation : ddxuv=v.dudx-dvdx.uv2 deaxdx=aeax dxndx=n.xn-1

Q: Calculate the third derivative of the function y%-xe-",

A: To find the third order derivative we use product rule of derivative formula. From the product rule…

Q: Consider the nonhomogeneous second order differential equation a°y" – xy' + y = nT +0, x > 1.

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.