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.

Q: for: Q1) Find dx 1) y = log3(3x³ +x²)² x In(sec-1 /ã)

A: I have solved question 1 for next question repost.

Q: Find the positive root of the equation e = 1+r++Fe0.3%

A: For the function Fx=ex-1+x+x22+x66e0.3x:  F2<0 and F3>0

Q: 6)Differentiate h (z) = 5z-3/z+ log, (2z) - 10 + sin(6z)

A:

Q: part ii, thank you very much.

A:

Q: Find the first derivative with respect to the independent variable of the following functions: 15P…

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

Q: Question # 1: (a) If = y+ 3 and y(0)=2, then find y(ln2) (b) Evaluate f 1 dx (sinx+cosx)2

A: Explanation of the solution is given below....

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

A:

Q: Solve by lagrange method, find the general solution to the ODE y = x(y' - x cos(x))

A: Given differential equation is  y=xy'-xcosx⇒y'=xcosx+yx⇒y'-1xy=xcosx which is of the form y'+Py=Q.…

Q: 3. An object at 50°F is put in an environment where the temperature is 100° F . After 5 minutes the…

A:

Q: 3. a) Define Integrating Factor and Exact Differential Equation. b) Solve: (x2 + xy-y² )dx+ x² - 2xy…

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

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)…

A:

Q: y′= (6xe^(6x)) X (cos^(2) (6y)) a) Write the equation in an integrable form by separating it into…

A: Solve using variable separable method.

Q: solve for E(Rm) E(Ri) = Rf + [E(RM) – Rf] × bi        .109 = .028 + [E(RM) – .028](.90)

A: Given : E(Ri) = Rf + [E(RM) – Rf] × bi        .109 = .028 + [E(RM) – .028](.90)

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

A:

Q: а.) Solve x' = -5] x+ -2 [sec t] x(0) 1 b.) Solve x' = x + x(0) 1 -2 U5

A:

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: dž 3 9. with x(0) = dt -1 -3 x1(t) = help (formulas) x2(t) : help (formulas)

A:

Q: 2. %3D

A:

Q: Investigate the root of the equation x+Ln x-5 = 0 in the range [3.2,4] using the Regula-Falsi…

A: Consider the given equation whose root is required to calculate.

Q: Solve the differential equation by variation of parameters. y"+ y = sec(0) tan(0)

A:

Q: Solve the separable differential equation. dy (1+y²) coshx dx 9+sinh x

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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.

Q: by s- differentiation find L(te-3t) = 1 .aO (s- 3) 1 .b O (s-3)2 (s+3) .dO (s+3) 2 1.

A: The solution is given as

Q: Daniel Bernoulli's work in 1760 had the goal of appraising the effectiveness of a controversial…

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

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…

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.